Least Common Multiple of 76/213, 590/560, 494/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/213, 590/560, 494/312 quickly i.e. 291460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/213, 590/560, 494/312 is 291460.

LCM(76/213, 590/560, 494/312) = 291460

LCM of 76/213, 590/560, 494/312

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 76/213,590/560,494/312

Given numbers are 76/213,590/560,494/312

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 76,590,494

Least Common Multiple of Numerators i.e. LCM of 76,590,494 is 291460.

GCF of Denominators means GCF of 213,560,312 as per the given fractions.

GCF of 213,560,312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,590,494

LCM of Fractions 76/213,590/560,494/312 is 291460

2 76, 590, 494
19 38, 295, 247
2, 295, 13

∴ So the LCM of the given numbers is 2 x 19 x 2 x 295 x 13 = 291460

Least Common Multiple of 76,590,494 with GCF Formula

Least Common Multiple of 76,590,494 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 76,590,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,590,494) = 2

common factors(in case of two or more numbers have common factors) = 38

GCF(76,590,494) x common factors =2 x 38 = 76

LCM(76,590,494) = ( 76 × 590 × 494 ) / 76

LCM(76,590,494) = 22150960 / 76

LCM(76,590,494) = 291460


Lets's calculate GCF of 213,560,312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 291460/1

Therefore the LCM of Fractions 76/213,590/560,494/312 is 291460

Greatest Common Factor of 213,560,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,560,312 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 213,560,312 . The biggest common factor number is the GCF number.
So the greatest common factor 213,560,312 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 76/213, 590/560, 494/312

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 76/213, 590/560, 494/312?

Answer: LCM of Numerators as per given numbers 76/213, 590/560, 494/312 is

LCM of Numerators i.e. for 76,590,494 is 291460

GCF of denominators i.e. for 213,560,312 is 1.

Thus, LCM of Fractions is 291460.Finally, LCM of Fractions for 76/213, 590/560, 494/312 is 291460.