Least Common Multiple of 676/34, 803/86, 732/57

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 676/34, 803/86, 732/57 quickly i.e. 99337524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/34, 803/86, 732/57 is 99337524.

LCM(676/34, 803/86, 732/57) = 99337524

LCM of 676/34, 803/86, 732/57

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 676/34,803/86,732/57

Given numbers are 676/34,803/86,732/57

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 676,803,732

Least Common Multiple of Numerators i.e. LCM of 676,803,732 is 99337524.

GCF of Denominators means GCF of 34,86,57 as per the given fractions.

GCF of 34,86,57 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,803,732

LCM of Fractions 676/34,803/86,732/57 is 99337524

2 676, 803, 732
2 338, 803, 366
169, 803, 183

∴ So the LCM of the given numbers is 2 x 2 x 169 x 803 x 183 = 99337524

Least Common Multiple of 676,803,732 with GCF Formula

Least Common Multiple of 676,803,732 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 676,803,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,803,732) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(676,803,732) x common factors =1 x 4 = 4

LCM(676,803,732) = ( 676 × 803 × 732 ) / 4

LCM(676,803,732) = 397350096 / 4

LCM(676,803,732) = 99337524


Lets's calculate GCF of 34,86,57

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99337524/1

Therefore the LCM of Fractions 676/34,803/86,732/57 is 99337524

Greatest Common Factor of 34,86,57 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,86,57 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Greatest Common Factor

We found the factors 34,86,57 . The biggest common factor number is the GCF number.
So the greatest common factor 34,86,57 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 676/34, 803/86, 732/57

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 676/34, 803/86, 732/57?

Answer: LCM of Numerators as per given numbers 676/34, 803/86, 732/57 is

LCM of Numerators i.e. for 676,803,732 is 99337524

GCF of denominators i.e. for 34,86,57 is 1.

Thus, LCM of Fractions is 99337524.Finally, LCM of Fractions for 676/34, 803/86, 732/57 is 99337524.