Least Common Multiple of 58/156, 614/938, 389/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/156, 614/938, 389/681 quickly i.e. 6926534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/156, 614/938, 389/681 is 6926534.

LCM(58/156, 614/938, 389/681) = 6926534

LCM of 58/156, 614/938, 389/681

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 58/156,614/938,389/681

Given numbers are 58/156,614/938,389/681

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 58,614,389

Least Common Multiple of Numerators i.e. LCM of 58,614,389 is 6926534.

GCF of Denominators means GCF of 156,938,681 as per the given fractions.

GCF of 156,938,681 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,614,389

LCM of Fractions 58/156,614/938,389/681 is 6926534

2 58, 614, 389
29, 307, 389

∴ So the LCM of the given numbers is 2 x 29 x 307 x 389 = 6926534

Least Common Multiple of 58,614,389 with GCF Formula

Least Common Multiple of 58,614,389 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 58,614,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,614,389) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(58,614,389) x common factors =1 x 2 = 2

LCM(58,614,389) = ( 58 × 614 × 389 ) / 2

LCM(58,614,389) = 13853068 / 2

LCM(58,614,389) = 6926534


Lets's calculate GCF of 156,938,681

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6926534/1

Therefore the LCM of Fractions 58/156,614/938,389/681 is 6926534

Greatest Common Factor of 156,938,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,938,681 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors 156,938,681 . The biggest common factor number is the GCF number.
So the greatest common factor 156,938,681 is 1.


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 58/156, 614/938, 389/681

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 58/156, 614/938, 389/681?

Answer: LCM of Numerators as per given numbers 58/156, 614/938, 389/681 is

LCM of Numerators i.e. for 58,614,389 is 6926534

GCF of denominators i.e. for 156,938,681 is 1.

Thus, LCM of Fractions is 6926534.Finally, LCM of Fractions for 58/156, 614/938, 389/681 is 6926534.