Least Common Multiple of 882/948, 120/432, 139/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 882/948, 120/432, 139/342 quickly i.e. 408660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/948, 120/432, 139/342 is 408660.

LCM(882/948, 120/432, 139/342) = 408660

LCM of 882/948, 120/432, 139/342

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 882/948,120/432,139/342

Given numbers are 882/948,120/432,139/342

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 882,120,139

Least Common Multiple of Numerators i.e. LCM of 882,120,139 is 2451960.

GCF of Denominators means GCF of 948,432,342 as per the given fractions.

GCF of 948,432,342 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,120,139

LCM of Fractions 882/948,120/432,139/342 is 408660

2 882, 120, 139
3 441, 60, 139
147, 20, 139

∴ So the LCM of the given numbers is 2 x 3 x 147 x 20 x 139 = 2451960

Least Common Multiple of 882,120,139 with GCF Formula

Least Common Multiple of 882,120,139 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 882,120,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,120,139) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(882,120,139) x common factors =1 x 6 = 6

LCM(882,120,139) = ( 882 × 120 × 139 ) / 6

LCM(882,120,139) = 14711760 / 6

LCM(882,120,139) = 2451960


Lets's calculate GCF of 948,432,342

2 948, 432, 342
3 474, 216, 171
158, 72, 57

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2451960/6

Therefore the LCM of Fractions 882/948,120/432,139/342 is 408660

Greatest Common Factor of 948,432,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,432,342 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 948,432,342 . The biggest common factor number is the GCF number.
So the greatest common factor 948,432,342 is 6.


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 882/948, 120/432, 139/342

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 882/948, 120/432, 139/342?

Answer: LCM of Numerators as per given numbers 882/948, 120/432, 139/342 is

LCM of Numerators i.e. for 882,120,139 is 2451960

GCF of denominators i.e. for 948,432,342 is 6.

Thus, LCM of Fractions is 408660.Finally, LCM of Fractions for 882/948, 120/432, 139/342 is 408660.