Least Common Multiple of 237/57, 944/3515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 237/57, 944/3515 quickly i.e. 223728/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 237/57, 944/3515 is 223728/19.

LCM(237/57, 944/3515) = 223728/19

LCM of 237/57, 944/3515

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 237/57,944/3515

Given numbers are 237/57,944/3515

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 237,944

Least Common Multiple of Numerators i.e. LCM of 237,944 is 223728.

GCF of Denominators means GCF of 57,3515 as per the given fractions.

GCF of 57,3515 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 237,944

LCM of Fractions 237/57,944/3515 is 223728/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 223728

Least Common Multiple of 237,944 with GCF Formula

Least Common Multiple of 237,944 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 237,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,944) = 1

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

GCF(237,944) x common factors =1 x 1 = 1

LCM(237,944) = ( 237 × 944 ) / 1

LCM(237,944) = 223728 / 1

LCM(237,944) = 223728


Lets's calculate GCF of 57,3515

19 57, 3515
3, 185

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223728/19

Therefore the LCM of Fractions 237/57,944/3515 is 223728/19

Greatest Common Factor of 57,3515 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,3515 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 3515

List of positive integer factors of 3515 that divides 3515 without a remainder.

1,5,19,37,95,185,703,3515

Greatest Common Factor

We found the factors 57,3515 . The biggest common factor number is the GCF number.
So the greatest common factor 57,3515 is 19.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 237/57, 944/3515

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 237/57, 944/3515?

Answer: LCM of Numerators as per given numbers 237/57, 944/3515 is

LCM of Numerators i.e. for 237,944 is 223728

GCF of denominators i.e. for 57,3515 is 19.

Thus, LCM of Fractions is 223728/19.Finally, LCM of Fractions for 237/57, 944/3515 is 223728/19.