Least Common Multiple of 840/130, 4254/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 840/130, 4254/295 quickly i.e. 119112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 840/130, 4254/295 is 119112.

LCM(840/130, 4254/295) = 119112

LCM of 840/130, 4254/295

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 840/130,4254/295

Given numbers are 840/130,4254/295

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 840,4254

Least Common Multiple of Numerators i.e. LCM of 840,4254 is 595560.

GCF of Denominators means GCF of 130,295 as per the given fractions.

GCF of 130,295 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 840,4254

LCM of Fractions 840/130,4254/295 is 119112

2 840, 4254
3 420, 2127
140, 709

∴ So the LCM of the given numbers is 2 x 3 x 140 x 709 = 595560

Least Common Multiple of 840,4254 with GCF Formula

Least Common Multiple of 840,4254 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 840,4254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,4254) = 6

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

GCF(840,4254) x common factors =6 x 1 = 6

LCM(840,4254) = ( 840 × 4254 ) / 6

LCM(840,4254) = 3573360 / 6

LCM(840,4254) = 595560


Lets's calculate GCF of 130,295

5 130, 295
26, 59

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 595560/5

Therefore the LCM of Fractions 840/130,4254/295 is 119112

Greatest Common Factor of 130,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,295 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 130,295 . The biggest common factor number is the GCF number.
So the greatest common factor 130,295 is 5.


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 840/130, 4254/295

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 840/130, 4254/295?

Answer: LCM of Numerators as per given numbers 840/130, 4254/295 is

LCM of Numerators i.e. for 840,4254 is 595560

GCF of denominators i.e. for 130,295 is 5.

Thus, LCM of Fractions is 119112.Finally, LCM of Fractions for 840/130, 4254/295 is 119112.