Least Common Multiple of 310/78, 367/56, 746/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 310/78, 367/56, 746/622 quickly i.e. 21218105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/78, 367/56, 746/622 is 21218105.

LCM(310/78, 367/56, 746/622) = 21218105

LCM of 310/78, 367/56, 746/622

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 310/78,367/56,746/622

Given numbers are 310/78,367/56,746/622

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 310,367,746

Least Common Multiple of Numerators i.e. LCM of 310,367,746 is 42436210.

GCF of Denominators means GCF of 78,56,622 as per the given fractions.

GCF of 78,56,622 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,367,746

LCM of Fractions 310/78,367/56,746/622 is 21218105

2 310, 367, 746
155, 367, 373

∴ So the LCM of the given numbers is 2 x 155 x 367 x 373 = 42436210

Least Common Multiple of 310,367,746 with GCF Formula

Least Common Multiple of 310,367,746 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 310,367,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,367,746) = 1

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

GCF(310,367,746) x common factors =1 x 2 = 2

LCM(310,367,746) = ( 310 × 367 × 746 ) / 2

LCM(310,367,746) = 84872420 / 2

LCM(310,367,746) = 42436210


Lets's calculate GCF of 78,56,622

2 78, 56, 622
39, 28, 311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42436210/2

Therefore the LCM of Fractions 310/78,367/56,746/622 is 21218105

Greatest Common Factor of 78,56,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,56,622 By Matching Biggest Common Factor Method

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 56

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

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

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 78,56,622 . The biggest common factor number is the GCF number.
So the greatest common factor 78,56,622 is 2.


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 310/78, 367/56, 746/622

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 310/78, 367/56, 746/622?

Answer: LCM of Numerators as per given numbers 310/78, 367/56, 746/622 is

LCM of Numerators i.e. for 310,367,746 is 42436210

GCF of denominators i.e. for 78,56,622 is 2.

Thus, LCM of Fractions is 21218105.Finally, LCM of Fractions for 310/78, 367/56, 746/622 is 21218105.