Least Common Multiple of 318/56, 862/78, 719/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 318/56, 862/78, 719/494 quickly i.e. 49272351 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/56, 862/78, 719/494 is 49272351.

LCM(318/56, 862/78, 719/494) = 49272351

LCM of 318/56, 862/78, 719/494

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 318/56,862/78,719/494

Given numbers are 318/56,862/78,719/494

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 318,862,719

Least Common Multiple of Numerators i.e. LCM of 318,862,719 is 98544702.

GCF of Denominators means GCF of 56,78,494 as per the given fractions.

GCF of 56,78,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,862,719

LCM of Fractions 318/56,862/78,719/494 is 49272351

2 318, 862, 719
159, 431, 719

∴ So the LCM of the given numbers is 2 x 159 x 431 x 719 = 98544702

Least Common Multiple of 318,862,719 with GCF Formula

Least Common Multiple of 318,862,719 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 318,862,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,862,719) = 1

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

GCF(318,862,719) x common factors =1 x 2 = 2

LCM(318,862,719) = ( 318 × 862 × 719 ) / 2

LCM(318,862,719) = 197089404 / 2

LCM(318,862,719) = 98544702


Lets's calculate GCF of 56,78,494

2 56, 78, 494
28, 39, 247

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98544702/2

Therefore the LCM of Fractions 318/56,862/78,719/494 is 49272351

Greatest Common Factor of 56,78,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,78,494 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 56,78,494 . The biggest common factor number is the GCF number.
So the greatest common factor 56,78,494 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 318/56, 862/78, 719/494

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 318/56, 862/78, 719/494?

Answer: LCM of Numerators as per given numbers 318/56, 862/78, 719/494 is

LCM of Numerators i.e. for 318,862,719 is 98544702

GCF of denominators i.e. for 56,78,494 is 2.

Thus, LCM of Fractions is 49272351.Finally, LCM of Fractions for 318/56, 862/78, 719/494 is 49272351.