Least Common Multiple of 51/926, 924/359, 920/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/926, 924/359, 920/427 quickly i.e. 3612840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/926, 924/359, 920/427 is 3612840.

LCM(51/926, 924/359, 920/427) = 3612840

LCM of 51/926, 924/359, 920/427

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 51/926,924/359,920/427

Given numbers are 51/926,924/359,920/427

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 51,924,920

Least Common Multiple of Numerators i.e. LCM of 51,924,920 is 3612840.

GCF of Denominators means GCF of 926,359,427 as per the given fractions.

GCF of 926,359,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,924,920

LCM of Fractions 51/926,924/359,920/427 is 3612840

2 51, 924, 920
2 51, 462, 460
3 51, 231, 230
17, 77, 230

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 77 x 230 = 3612840

Least Common Multiple of 51,924,920 with GCF Formula

Least Common Multiple of 51,924,920 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 51,924,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,924,920) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(51,924,920) x common factors =1 x 12 = 12

LCM(51,924,920) = ( 51 × 924 × 920 ) / 12

LCM(51,924,920) = 43354080 / 12

LCM(51,924,920) = 3612840


Lets's calculate GCF of 926,359,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3612840/1

Therefore the LCM of Fractions 51/926,924/359,920/427 is 3612840

Greatest Common Factor of 926,359,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 926,359,427 By Matching Biggest Common Factor Method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 926,359,427 . The biggest common factor number is the GCF number.
So the greatest common factor 926,359,427 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 51/926, 924/359, 920/427

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 51/926, 924/359, 920/427?

Answer: LCM of Numerators as per given numbers 51/926, 924/359, 920/427 is

LCM of Numerators i.e. for 51,924,920 is 3612840

GCF of denominators i.e. for 926,359,427 is 1.

Thus, LCM of Fractions is 3612840.Finally, LCM of Fractions for 51/926, 924/359, 920/427 is 3612840.