2.5 Prime factorization and the least common multiple  (Page 5/8)

$56$

$72$

$168$

$252$

$391$

$400$

$432$

$627$

$2160$

$2520$

$150$

$180$

$525$

$444$

$36$

$50$

$350$

$144$

$8,12$

$4,3$

$6,15$

$12,16$

$30,40$

$20,30$

$60,75$

$44,55$

$8,12$

$12,16$

$24,30$

$28,40$

$70,84$

$84,90$

$6,21$

$9,15$

$24,30$

$32,40$

Grocery shopping Hot dogs are sold in packages of ten, but hot dog buns come in packs of eight. What is the smallest number of hot dogs and buns that can be purchased if you want to have the same number of hot dogs and buns? (Hint: it is the LCM!)

Grocery shopping Paper plates are sold in packages of $12$ and party cups come in packs of $8.$ What is the smallest number of plates and cups you can purchase if you want to have the same number of each? (Hint: it is the LCM!)

Do you prefer to find the prime factorization of a composite number by using the factor tree method or the ladder method? Why?

Do you prefer to find the LCM by listing multiples or by using the prime factors method? Why?

$3\cdot 8$

$12-x$

$24÷6$

$9+2a$

$50\ge 47$

$3y<15$

$n+4=13$

$32-k=7$

$5+u=84$

$36-6s$

$4y-11$

$10x=120$

$2\cdot 2\cdot 2$

$a\cdot a\cdot a\cdot a\cdot a$

$x\cdot x\cdot x\cdot x\cdot x\cdot x$

$10\cdot 10\cdot 10$

$8^4$

$3^6$

$y^5$

$n^4$

$3^4$

${10}^6$

$2^7$

$4^3$

$10+2\cdot 5$

$(10+2)\cdot 5$

$(30+6)÷2$

$30+6÷2$

$7^2+5^2$

${(7+5)}^2$

$4+3(10-1)$

$(4+3)(10-1)$

$9x-5\text{when}x=7$

$y^3\text{when}y=5$

$3a-4b\text{when}a=10,b=1$

$bh\text{when}b=7,h=8$

$12n^2+3n+1$

$4x^3+11x+3$

$6y$

$13x^2$

$5x^2,3,5y^2,3x,x,4$