Least Common Multiple of 97/682, 577/902, 710/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/682, 577/902, 710/436 quickly i.e. 19868995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/682, 577/902, 710/436 is 19868995.

LCM(97/682, 577/902, 710/436) = 19868995

LCM of 97/682, 577/902, 710/436

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 97/682,577/902,710/436

Given numbers are 97/682,577/902,710/436

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 97,577,710

Least Common Multiple of Numerators i.e. LCM of 97,577,710 is 39737990.

GCF of Denominators means GCF of 682,902,436 as per the given fractions.

GCF of 682,902,436 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,577,710

LCM of Fractions 97/682,577/902,710/436 is 19868995

Given numbers has no common factors except 1. So, there LCM is their product i.e 39737990

Least Common Multiple of 97,577,710 with GCF Formula

Least Common Multiple of 97,577,710 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 97,577,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,577,710) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(97,577,710) x common factors =1 x 1 = 1

LCM(97,577,710) = ( 97 × 577 × 710 ) / 1

LCM(97,577,710) = 39737990 / 1

LCM(97,577,710) = 39737990


Lets's calculate GCF of 682,902,436

2 682, 902, 436
341, 451, 218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39737990/2

Therefore the LCM of Fractions 97/682,577/902,710/436 is 19868995

Greatest Common Factor of 682,902,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,902,436 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 682,902,436 . The biggest common factor number is the GCF number.
So the greatest common factor 682,902,436 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 97/682, 577/902, 710/436

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 97/682, 577/902, 710/436?

Answer: LCM of Numerators as per given numbers 97/682, 577/902, 710/436 is

LCM of Numerators i.e. for 97,577,710 is 39737990

GCF of denominators i.e. for 682,902,436 is 2.

Thus, LCM of Fractions is 19868995.Finally, LCM of Fractions for 97/682, 577/902, 710/436 is 19868995.