Question

Find HCF *LCM for the numbers 100and 190

Answer 1

Given:-

➜Numbers=(100&190)

$\rule{200}{1}$

To Find:-

✪The HCF&LCM of the numbers?

$\rule{200}{1}$

AnsWer:-

☞LCM=1900

☞HCF=10

$\rule{200}{1}$

✪Using Factorization Method✪

↝5 |100

↝5 |20

↝2 |4

↝2 |2

↝1 |1

➜100=5×5×2×2×1

↝5 |190

↝2 |38

↝19|19

↝1 |1

➜190=5×2×19×1

๛HCF=2×5=10

★Using the Formula★

↝HCF×LCM=Product of Numbers

✪Putting The Values✪

↝10×LCM=190×100

↝LCM=$\frac{\cancel{190} \times 100}{\cancel{10}}$

↝LCM=19×100

☞LCM=1900

Answer 2

$\huge\purple{\textbf{\underline{\underline{Fair Content}}}}$

HCF(100,190)=10

LCM(100,190)= 1900

Step-by-step explanation:

We have ,

100 = 2²×5²

190 = 2¹×5¹×19

HCF(100,190)=2¹×5¹=10

/* Product of the smallest power of each common prime factors of the numbers */

LCM(100,190)= 2²×5²×19

= 1900

/* Product of the greatest power of each prime factors of the numbers */

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