Least Common Multiple of 3120/224, 6152/6961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3120/224, 6152/6961 quickly i.e. 2399280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3120/224, 6152/6961 is 2399280.

LCM(3120/224, 6152/6961) = 2399280

LCM of 3120/224, 6152/6961

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 3120/224,6152/6961

Given numbers are 3120/224,6152/6961

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 3120,6152

Least Common Multiple of Numerators i.e. LCM of 3120,6152 is 2399280.

GCF of Denominators means GCF of 224,6961 as per the given fractions.

GCF of 224,6961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3120,6152

LCM of Fractions 3120/224,6152/6961 is 2399280

2 3120, 6152
2 1560, 3076
2 780, 1538
390, 769

∴ So the LCM of the given numbers is 2 x 2 x 2 x 390 x 769 = 2399280

Least Common Multiple of 3120,6152 with GCF Formula

Least Common Multiple of 3120,6152 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 3120,6152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3120,6152) = 8

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

GCF(3120,6152) x common factors =8 x 1 = 8

LCM(3120,6152) = ( 3120 × 6152 ) / 8

LCM(3120,6152) = 19194240 / 8

LCM(3120,6152) = 2399280


Lets's calculate GCF of 224,6961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2399280/1

Therefore the LCM of Fractions 3120/224,6152/6961 is 2399280

Greatest Common Factor of 224,6961 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,6961 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 6961

List of positive integer factors of 6961 that divides 6961 without a remainder.

1,6961

Greatest Common Factor

We found the factors 224,6961 . The biggest common factor number is the GCF number.
So the greatest common factor 224,6961 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 3120/224, 6152/6961

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 3120/224, 6152/6961?

Answer: LCM of Numerators as per given numbers 3120/224, 6152/6961 is

LCM of Numerators i.e. for 3120,6152 is 2399280

GCF of denominators i.e. for 224,6961 is 1.

Thus, LCM of Fractions is 2399280.Finally, LCM of Fractions for 3120/224, 6152/6961 is 2399280.