Least Common Multiple of 97/562, 200/446, 728/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/562, 200/446, 728/696 quickly i.e. 882700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/562, 200/446, 728/696 is 882700.

LCM(97/562, 200/446, 728/696) = 882700

LCM of 97/562, 200/446, 728/696

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 97/562,200/446,728/696

Given numbers are 97/562,200/446,728/696

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 97,200,728

Least Common Multiple of Numerators i.e. LCM of 97,200,728 is 1765400.

GCF of Denominators means GCF of 562,446,696 as per the given fractions.

GCF of 562,446,696 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,200,728

LCM of Fractions 97/562,200/446,728/696 is 882700

2 97, 200, 728
2 97, 100, 364
2 97, 50, 182
97, 25, 91

∴ So the LCM of the given numbers is 2 x 2 x 2 x 97 x 25 x 91 = 1765400

Least Common Multiple of 97,200,728 with GCF Formula

Least Common Multiple of 97,200,728 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 97,200,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,200,728) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(97,200,728) x common factors =1 x 8 = 8

LCM(97,200,728) = ( 97 × 200 × 728 ) / 8

LCM(97,200,728) = 14123200 / 8

LCM(97,200,728) = 1765400


Lets's calculate GCF of 562,446,696

2 562, 446, 696
281, 223, 348

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1765400/2

Therefore the LCM of Fractions 97/562,200/446,728/696 is 882700

Greatest Common Factor of 562,446,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,446,696 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 562,446,696 . The biggest common factor number is the GCF number.
So the greatest common factor 562,446,696 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 97/562, 200/446, 728/696

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 97/562, 200/446, 728/696?

Answer: LCM of Numerators as per given numbers 97/562, 200/446, 728/696 is

LCM of Numerators i.e. for 97,200,728 is 1765400

GCF of denominators i.e. for 562,446,696 is 2.

Thus, LCM of Fractions is 882700.Finally, LCM of Fractions for 97/562, 200/446, 728/696 is 882700.