Least Common Multiple of 128/959, 840/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 128/959, 840/892 quickly i.e. 13440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 128/959, 840/892 is 13440.

LCM(128/959, 840/892) = 13440

LCM of 128/959, 840/892

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 128/959,840/892

Given numbers are 128/959,840/892

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 128,840

Least Common Multiple of Numerators i.e. LCM of 128,840 is 13440.

GCF of Denominators means GCF of 959,892 as per the given fractions.

GCF of 959,892 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 128,840

LCM of Fractions 128/959,840/892 is 13440

2 128, 840
2 64, 420
2 32, 210
16, 105

∴ So the LCM of the given numbers is 2 x 2 x 2 x 16 x 105 = 13440

Least Common Multiple of 128,840 with GCF Formula

Least Common Multiple of 128,840 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 128,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,840) = 8

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

GCF(128,840) x common factors =8 x 1 = 8

LCM(128,840) = ( 128 × 840 ) / 8

LCM(128,840) = 107520 / 8

LCM(128,840) = 13440


Lets's calculate GCF of 959,892

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13440/1

Therefore the LCM of Fractions 128/959,840/892 is 13440

Greatest Common Factor of 959,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 959,892 By Matching Biggest Common Factor Method

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 959,892 . The biggest common factor number is the GCF number.
So the greatest common factor 959,892 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 128/959, 840/892

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 128/959, 840/892?

Answer: LCM of Numerators as per given numbers 128/959, 840/892 is

LCM of Numerators i.e. for 128,840 is 13440

GCF of denominators i.e. for 959,892 is 1.

Thus, LCM of Fractions is 13440.Finally, LCM of Fractions for 128/959, 840/892 is 13440.