Least Common Multiple of 491/58, 973/34, 196/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/58, 973/34, 196/156 quickly i.e. 6688402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/58, 973/34, 196/156 is 6688402.

LCM(491/58, 973/34, 196/156) = 6688402

LCM of 491/58, 973/34, 196/156

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 491/58,973/34,196/156

Given numbers are 491/58,973/34,196/156

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 491,973,196

Least Common Multiple of Numerators i.e. LCM of 491,973,196 is 13376804.

GCF of Denominators means GCF of 58,34,156 as per the given fractions.

GCF of 58,34,156 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,973,196

LCM of Fractions 491/58,973/34,196/156 is 6688402

7 491, 973, 196
491, 139, 28

∴ So the LCM of the given numbers is 7 x 491 x 139 x 28 = 13376804

Least Common Multiple of 491,973,196 with GCF Formula

Least Common Multiple of 491,973,196 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 491,973,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,973,196) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(491,973,196) x common factors =1 x 7 = 7

LCM(491,973,196) = ( 491 × 973 × 196 ) / 7

LCM(491,973,196) = 93637628 / 7

LCM(491,973,196) = 13376804


Lets's calculate GCF of 58,34,156

2 58, 34, 156
29, 17, 78

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13376804/2

Therefore the LCM of Fractions 491/58,973/34,196/156 is 6688402

Greatest Common Factor of 58,34,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,34,156 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 34

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

1,2,17,34

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

Greatest Common Factor

We found the factors 58,34,156 . The biggest common factor number is the GCF number.
So the greatest common factor 58,34,156 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 491/58, 973/34, 196/156

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 491/58, 973/34, 196/156?

Answer: LCM of Numerators as per given numbers 491/58, 973/34, 196/156 is

LCM of Numerators i.e. for 491,973,196 is 13376804

GCF of denominators i.e. for 58,34,156 is 2.

Thus, LCM of Fractions is 6688402.Finally, LCM of Fractions for 491/58, 973/34, 196/156 is 6688402.