Least Common Multiple of 904/390, 2952/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 904/390, 2952/940 quickly i.e. 333576/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/390, 2952/940 is 333576/10.

LCM(904/390, 2952/940) = 333576/10

LCM of 904/390, 2952/940

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 904/390,2952/940

Given numbers are 904/390,2952/940

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 904,2952

Least Common Multiple of Numerators i.e. LCM of 904,2952 is 333576.

GCF of Denominators means GCF of 390,940 as per the given fractions.

GCF of 390,940 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,2952

LCM of Fractions 904/390,2952/940 is 333576/10

2 904, 2952
2 452, 1476
2 226, 738
113, 369

∴ So the LCM of the given numbers is 2 x 2 x 2 x 113 x 369 = 333576

Least Common Multiple of 904,2952 with GCF Formula

Least Common Multiple of 904,2952 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 904,2952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,2952) = 8

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

GCF(904,2952) x common factors =8 x 1 = 8

LCM(904,2952) = ( 904 × 2952 ) / 8

LCM(904,2952) = 2668608 / 8

LCM(904,2952) = 333576


Lets's calculate GCF of 390,940

2 390, 940
5 195, 470
39, 94

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 333576/10

Therefore the LCM of Fractions 904/390,2952/940 is 333576/10

Greatest Common Factor of 390,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,940 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 390,940 . The biggest common factor number is the GCF number.
So the greatest common factor 390,940 is 10.


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 904/390, 2952/940

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 904/390, 2952/940?

Answer: LCM of Numerators as per given numbers 904/390, 2952/940 is

LCM of Numerators i.e. for 904,2952 is 333576

GCF of denominators i.e. for 390,940 is 10.

Thus, LCM of Fractions is 333576/10.Finally, LCM of Fractions for 904/390, 2952/940 is 333576/10.