Least Common Multiple of 62/197, 38/765, 878/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/197, 38/765, 878/131 quickly i.e. 517142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/197, 38/765, 878/131 is 517142.

LCM(62/197, 38/765, 878/131) = 517142

LCM of 62/197, 38/765, 878/131

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 62/197,38/765,878/131

Given numbers are 62/197,38/765,878/131

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 62,38,878

Least Common Multiple of Numerators i.e. LCM of 62,38,878 is 517142.

GCF of Denominators means GCF of 197,765,131 as per the given fractions.

GCF of 197,765,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,38,878

LCM of Fractions 62/197,38/765,878/131 is 517142

2 62, 38, 878
31, 19, 439

∴ So the LCM of the given numbers is 2 x 31 x 19 x 439 = 517142

Least Common Multiple of 62,38,878 with GCF Formula

Least Common Multiple of 62,38,878 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 62,38,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,38,878) = 2

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

GCF(62,38,878) x common factors =2 x 2 = 4

LCM(62,38,878) = ( 62 × 38 × 878 ) / 4

LCM(62,38,878) = 2068568 / 4

LCM(62,38,878) = 517142


Lets's calculate GCF of 197,765,131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 517142/1

Therefore the LCM of Fractions 62/197,38/765,878/131 is 517142

Greatest Common Factor of 197,765,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,765,131 By Matching Biggest Common Factor Method

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 197,765,131 . The biggest common factor number is the GCF number.
So the greatest common factor 197,765,131 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/197, 38/765, 878/131

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 62/197, 38/765, 878/131?

Answer: LCM of Numerators as per given numbers 62/197, 38/765, 878/131 is

LCM of Numerators i.e. for 62,38,878 is 517142

GCF of denominators i.e. for 197,765,131 is 1.

Thus, LCM of Fractions is 517142.Finally, LCM of Fractions for 62/197, 38/765, 878/131 is 517142.