Least Common Multiple of 786/895, 520/952, 920/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 786/895, 520/952, 920/493 quickly i.e. 4700280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 786/895, 520/952, 920/493 is 4700280.

LCM(786/895, 520/952, 920/493) = 4700280

LCM of 786/895, 520/952, 920/493

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 786/895,520/952,920/493

Given numbers are 786/895,520/952,920/493

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 786,520,920

Least Common Multiple of Numerators i.e. LCM of 786,520,920 is 4700280.

GCF of Denominators means GCF of 895,952,493 as per the given fractions.

GCF of 895,952,493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 786,520,920

LCM of Fractions 786/895,520/952,920/493 is 4700280

2 786, 520, 920
2 393, 260, 460
2 393, 130, 230
5 393, 65, 115
393, 13, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 393 x 13 x 23 = 4700280

Least Common Multiple of 786,520,920 with GCF Formula

Least Common Multiple of 786,520,920 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 786,520,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,520,920) = 2

common factors(in case of two or more numbers have common factors) = 40

GCF(786,520,920) x common factors =2 x 40 = 80

LCM(786,520,920) = ( 786 × 520 × 920 ) / 80

LCM(786,520,920) = 376022400 / 80

LCM(786,520,920) = 4700280


Lets's calculate GCF of 895,952,493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4700280/1

Therefore the LCM of Fractions 786/895,520/952,920/493 is 4700280

Greatest Common Factor of 895,952,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,952,493 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 895,952,493 . The biggest common factor number is the GCF number.
So the greatest common factor 895,952,493 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 786/895, 520/952, 920/493

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 786/895, 520/952, 920/493?

Answer: LCM of Numerators as per given numbers 786/895, 520/952, 920/493 is

LCM of Numerators i.e. for 786,520,920 is 4700280

GCF of denominators i.e. for 895,952,493 is 1.

Thus, LCM of Fractions is 4700280.Finally, LCM of Fractions for 786/895, 520/952, 920/493 is 4700280.