Least Common Multiple of 2938/935, 7144/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2938/935, 7144/438 quickly i.e. 10494536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2938/935, 7144/438 is 10494536.

LCM(2938/935, 7144/438) = 10494536

LCM of 2938/935, 7144/438

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 2938/935,7144/438

Given numbers are 2938/935,7144/438

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 2938,7144

Least Common Multiple of Numerators i.e. LCM of 2938,7144 is 10494536.

GCF of Denominators means GCF of 935,438 as per the given fractions.

GCF of 935,438 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2938,7144

LCM of Fractions 2938/935,7144/438 is 10494536

2 2938, 7144
1469, 3572

∴ So the LCM of the given numbers is 2 x 1469 x 3572 = 10494536

Least Common Multiple of 2938,7144 with GCF Formula

Least Common Multiple of 2938,7144 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 2938,7144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2938,7144) = 2

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

GCF(2938,7144) x common factors =2 x 1 = 2

LCM(2938,7144) = ( 2938 × 7144 ) / 2

LCM(2938,7144) = 20989072 / 2

LCM(2938,7144) = 10494536


Lets's calculate GCF of 935,438

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10494536/1

Therefore the LCM of Fractions 2938/935,7144/438 is 10494536

Greatest Common Factor of 935,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 935,438 By Matching Biggest Common Factor Method

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 935,438 . The biggest common factor number is the GCF number.
So the greatest common factor 935,438 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 2938/935, 7144/438

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 2938/935, 7144/438?

Answer: LCM of Numerators as per given numbers 2938/935, 7144/438 is

LCM of Numerators i.e. for 2938,7144 is 10494536

GCF of denominators i.e. for 935,438 is 1.

Thus, LCM of Fractions is 10494536.Finally, LCM of Fractions for 2938/935, 7144/438 is 10494536.