Least Common Multiple of 785/971, 920/612, 925/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 785/971, 920/612, 925/314 quickly i.e. 26721400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 785/971, 920/612, 925/314 is 26721400.

LCM(785/971, 920/612, 925/314) = 26721400

LCM of 785/971, 920/612, 925/314

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 785/971,920/612,925/314

Given numbers are 785/971,920/612,925/314

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 785,920,925

Least Common Multiple of Numerators i.e. LCM of 785,920,925 is 26721400.

GCF of Denominators means GCF of 971,612,314 as per the given fractions.

GCF of 971,612,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 785,920,925

LCM of Fractions 785/971,920/612,925/314 is 26721400

5 785, 920, 925
157, 184, 185

∴ So the LCM of the given numbers is 5 x 157 x 184 x 185 = 26721400

Least Common Multiple of 785,920,925 with GCF Formula

Least Common Multiple of 785,920,925 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 785,920,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,920,925) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(785,920,925) x common factors =5 x 5 = 25

LCM(785,920,925) = ( 785 × 920 × 925 ) / 25

LCM(785,920,925) = 668035000 / 25

LCM(785,920,925) = 26721400


Lets's calculate GCF of 971,612,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26721400/1

Therefore the LCM of Fractions 785/971,920/612,925/314 is 26721400

Greatest Common Factor of 971,612,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,612,314 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 971,612,314 . The biggest common factor number is the GCF number.
So the greatest common factor 971,612,314 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 785/971, 920/612, 925/314

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 785/971, 920/612, 925/314?

Answer: LCM of Numerators as per given numbers 785/971, 920/612, 925/314 is

LCM of Numerators i.e. for 785,920,925 is 26721400

GCF of denominators i.e. for 971,612,314 is 1.

Thus, LCM of Fractions is 26721400.Finally, LCM of Fractions for 785/971, 920/612, 925/314 is 26721400.