Least Common Multiple of 948/39, 492/8952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 948/39, 492/8952 quickly i.e. 12956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 948/39, 492/8952 is 12956.

LCM(948/39, 492/8952) = 12956

LCM of 948/39, 492/8952

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 948/39,492/8952

Given numbers are 948/39,492/8952

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 948,492

Least Common Multiple of Numerators i.e. LCM of 948,492 is 38868.

GCF of Denominators means GCF of 39,8952 as per the given fractions.

GCF of 39,8952 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 948,492

LCM of Fractions 948/39,492/8952 is 12956

2 948, 492
2 474, 246
3 237, 123
79, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 79 x 41 = 38868

Least Common Multiple of 948,492 with GCF Formula

Least Common Multiple of 948,492 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 948,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,492) = 12

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

GCF(948,492) x common factors =12 x 1 = 12

LCM(948,492) = ( 948 × 492 ) / 12

LCM(948,492) = 466416 / 12

LCM(948,492) = 38868


Lets's calculate GCF of 39,8952

3 39, 8952
13, 2984

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38868/3

Therefore the LCM of Fractions 948/39,492/8952 is 12956

Greatest Common Factor of 39,8952 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,8952 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 8952

List of positive integer factors of 8952 that divides 8952 without a remainder.

1,2,3,4,6,8,12,24,373,746,1119,1492,2238,2984,4476,8952

Greatest Common Factor

We found the factors 39,8952 . The biggest common factor number is the GCF number.
So the greatest common factor 39,8952 is 3.


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 948/39, 492/8952

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 948/39, 492/8952?

Answer: LCM of Numerators as per given numbers 948/39, 492/8952 is

LCM of Numerators i.e. for 948,492 is 38868

GCF of denominators i.e. for 39,8952 is 3.

Thus, LCM of Fractions is 12956.Finally, LCM of Fractions for 948/39, 492/8952 is 12956.