Least Common Multiple of 1460/22, 6136/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1460/22, 6136/968 quickly i.e. 2239640/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1460/22, 6136/968 is 2239640/22.

LCM(1460/22, 6136/968) = 2239640/22

LCM of 1460/22, 6136/968

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 1460/22,6136/968

Given numbers are 1460/22,6136/968

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 1460,6136

Least Common Multiple of Numerators i.e. LCM of 1460,6136 is 2239640.

GCF of Denominators means GCF of 22,968 as per the given fractions.

GCF of 22,968 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1460,6136

LCM of Fractions 1460/22,6136/968 is 2239640/22

2 1460, 6136
2 730, 3068
365, 1534

∴ So the LCM of the given numbers is 2 x 2 x 365 x 1534 = 2239640

Least Common Multiple of 1460,6136 with GCF Formula

Least Common Multiple of 1460,6136 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 1460,6136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1460,6136) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(1460,6136) x common factors =4 x 1 = 4

LCM(1460,6136) = ( 1460 × 6136 ) / 4

LCM(1460,6136) = 8958560 / 4

LCM(1460,6136) = 2239640


Lets's calculate GCF of 22,968

2 22, 968
11 11, 484
1, 44

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2239640/22

Therefore the LCM of Fractions 1460/22,6136/968 is 2239640/22

Greatest Common Factor of 22,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,968 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 22,968 . The biggest common factor number is the GCF number.
So the greatest common factor 22,968 is 22.


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 1460/22, 6136/968

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 1460/22, 6136/968?

Answer: LCM of Numerators as per given numbers 1460/22, 6136/968 is

LCM of Numerators i.e. for 1460,6136 is 2239640

GCF of denominators i.e. for 22,968 is 22.

Thus, LCM of Fractions is 2239640/22.Finally, LCM of Fractions for 1460/22, 6136/968 is 2239640/22.