Least Common Multiple of 30/427, 58/336, 976/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/427, 58/336, 976/722 quickly i.e. 424560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/427, 58/336, 976/722 is 424560.

LCM(30/427, 58/336, 976/722) = 424560

LCM of 30/427, 58/336, 976/722

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 30/427,58/336,976/722

Given numbers are 30/427,58/336,976/722

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 30,58,976

Least Common Multiple of Numerators i.e. LCM of 30,58,976 is 424560.

GCF of Denominators means GCF of 427,336,722 as per the given fractions.

GCF of 427,336,722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,58,976

LCM of Fractions 30/427,58/336,976/722 is 424560

2 30, 58, 976
15, 29, 488

∴ So the LCM of the given numbers is 2 x 15 x 29 x 488 = 424560

Least Common Multiple of 30,58,976 with GCF Formula

Least Common Multiple of 30,58,976 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 30,58,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,58,976) = 2

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

GCF(30,58,976) x common factors =2 x 2 = 4

LCM(30,58,976) = ( 30 × 58 × 976 ) / 4

LCM(30,58,976) = 1698240 / 4

LCM(30,58,976) = 424560


Lets's calculate GCF of 427,336,722

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 424560/1

Therefore the LCM of Fractions 30/427,58/336,976/722 is 424560

Greatest Common Factor of 427,336,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,336,722 By Matching Biggest Common Factor Method

Factors of 427

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

1,7,61,427

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 427,336,722 . The biggest common factor number is the GCF number.
So the greatest common factor 427,336,722 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 30/427, 58/336, 976/722

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 30/427, 58/336, 976/722?

Answer: LCM of Numerators as per given numbers 30/427, 58/336, 976/722 is

LCM of Numerators i.e. for 30,58,976 is 424560

GCF of denominators i.e. for 427,336,722 is 1.

Thus, LCM of Fractions is 424560.Finally, LCM of Fractions for 30/427, 58/336, 976/722 is 424560.