Least Common Multiple of 28/935, 9143/6974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/935, 9143/6974 quickly i.e. 256004/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/935, 9143/6974 is 256004/11.

LCM(28/935, 9143/6974) = 256004/11

LCM of 28/935, 9143/6974

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 28/935,9143/6974

Given numbers are 28/935,9143/6974

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 28,9143

Least Common Multiple of Numerators i.e. LCM of 28,9143 is 256004.

GCF of Denominators means GCF of 935,6974 as per the given fractions.

GCF of 935,6974 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,9143

LCM of Fractions 28/935,9143/6974 is 256004/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 256004

Least Common Multiple of 28,9143 with GCF Formula

Least Common Multiple of 28,9143 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 28,9143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,9143) = 1

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

GCF(28,9143) x common factors =1 x 1 = 1

LCM(28,9143) = ( 28 × 9143 ) / 1

LCM(28,9143) = 256004 / 1

LCM(28,9143) = 256004


Lets's calculate GCF of 935,6974

11 935, 6974
85, 634

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256004/11

Therefore the LCM of Fractions 28/935,9143/6974 is 256004/11

Greatest Common Factor of 935,6974 By Matching Biggest Common Factor Method

Greatest Common Factor of 935,6974 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 6974

List of positive integer factors of 6974 that divides 6974 without a remainder.

1,2,11,22,317,634,3487,6974

Greatest Common Factor

We found the factors 935,6974 . The biggest common factor number is the GCF number.
So the greatest common factor 935,6974 is 11.


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 28/935, 9143/6974

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 28/935, 9143/6974?

Answer: LCM of Numerators as per given numbers 28/935, 9143/6974 is

LCM of Numerators i.e. for 28,9143 is 256004

GCF of denominators i.e. for 935,6974 is 11.

Thus, LCM of Fractions is 256004/11.Finally, LCM of Fractions for 28/935, 9143/6974 is 256004/11.