Least Common Multiple of 37/967, 7144/2970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/967, 7144/2970 quickly i.e. 264328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/967, 7144/2970 is 264328.

LCM(37/967, 7144/2970) = 264328

LCM of 37/967, 7144/2970

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 37/967,7144/2970

Given numbers are 37/967,7144/2970

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 37,7144

Least Common Multiple of Numerators i.e. LCM of 37,7144 is 264328.

GCF of Denominators means GCF of 967,2970 as per the given fractions.

GCF of 967,2970 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,7144

LCM of Fractions 37/967,7144/2970 is 264328

Given numbers has no common factors except 1. So, there LCM is their product i.e 264328

Least Common Multiple of 37,7144 with GCF Formula

Least Common Multiple of 37,7144 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 37,7144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,7144) = 1

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

GCF(37,7144) x common factors =1 x 1 = 1

LCM(37,7144) = ( 37 × 7144 ) / 1

LCM(37,7144) = 264328 / 1

LCM(37,7144) = 264328


Lets's calculate GCF of 967,2970

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264328/1

Therefore the LCM of Fractions 37/967,7144/2970 is 264328

Greatest Common Factor of 967,2970 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,2970 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 2970

List of positive integer factors of 2970 that divides 2970 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970

Greatest Common Factor

We found the factors 967,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 967,2970 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 37/967, 7144/2970

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 37/967, 7144/2970?

Answer: LCM of Numerators as per given numbers 37/967, 7144/2970 is

LCM of Numerators i.e. for 37,7144 is 264328

GCF of denominators i.e. for 967,2970 is 1.

Thus, LCM of Fractions is 264328.Finally, LCM of Fractions for 37/967, 7144/2970 is 264328.