Least Common Multiple of 20/786, 34/839, 370/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/786, 34/839, 370/142 quickly i.e. 12580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/786, 34/839, 370/142 is 12580.

LCM(20/786, 34/839, 370/142) = 12580

LCM of 20/786, 34/839, 370/142

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 20/786,34/839,370/142

Given numbers are 20/786,34/839,370/142

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 20,34,370

Least Common Multiple of Numerators i.e. LCM of 20,34,370 is 12580.

GCF of Denominators means GCF of 786,839,142 as per the given fractions.

GCF of 786,839,142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,34,370

LCM of Fractions 20/786,34/839,370/142 is 12580

2 20, 34, 370
5 10, 17, 185
2, 17, 37

∴ So the LCM of the given numbers is 2 x 5 x 2 x 17 x 37 = 12580

Least Common Multiple of 20,34,370 with GCF Formula

Least Common Multiple of 20,34,370 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 20,34,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,34,370) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(20,34,370) x common factors =2 x 10 = 20

LCM(20,34,370) = ( 20 × 34 × 370 ) / 20

LCM(20,34,370) = 251600 / 20

LCM(20,34,370) = 12580


Lets's calculate GCF of 786,839,142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12580/1

Therefore the LCM of Fractions 20/786,34/839,370/142 is 12580

Greatest Common Factor of 786,839,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,839,142 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 786,839,142 . The biggest common factor number is the GCF number.
So the greatest common factor 786,839,142 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/786, 34/839, 370/142

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 20/786, 34/839, 370/142?

Answer: LCM of Numerators as per given numbers 20/786, 34/839, 370/142 is

LCM of Numerators i.e. for 20,34,370 is 12580

GCF of denominators i.e. for 786,839,142 is 1.

Thus, LCM of Fractions is 12580.Finally, LCM of Fractions for 20/786, 34/839, 370/142 is 12580.