Least Common Multiple of 53/827, 60/398, 634/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/827, 60/398, 634/342 quickly i.e. 1008060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/827, 60/398, 634/342 is 1008060.

LCM(53/827, 60/398, 634/342) = 1008060

LCM of 53/827, 60/398, 634/342

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 53/827,60/398,634/342

Given numbers are 53/827,60/398,634/342

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 53,60,634

Least Common Multiple of Numerators i.e. LCM of 53,60,634 is 1008060.

GCF of Denominators means GCF of 827,398,342 as per the given fractions.

GCF of 827,398,342 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,60,634

LCM of Fractions 53/827,60/398,634/342 is 1008060

2 53, 60, 634
53, 30, 317

∴ So the LCM of the given numbers is 2 x 53 x 30 x 317 = 1008060

Least Common Multiple of 53,60,634 with GCF Formula

Least Common Multiple of 53,60,634 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 53,60,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,60,634) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(53,60,634) x common factors =1 x 2 = 2

LCM(53,60,634) = ( 53 × 60 × 634 ) / 2

LCM(53,60,634) = 2016120 / 2

LCM(53,60,634) = 1008060


Lets's calculate GCF of 827,398,342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1008060/1

Therefore the LCM of Fractions 53/827,60/398,634/342 is 1008060

Greatest Common Factor of 827,398,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,398,342 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

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 827,398,342 . The biggest common factor number is the GCF number.
So the greatest common factor 827,398,342 is 1.


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 53/827, 60/398, 634/342

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 53/827, 60/398, 634/342?

Answer: LCM of Numerators as per given numbers 53/827, 60/398, 634/342 is

LCM of Numerators i.e. for 53,60,634 is 1008060

GCF of denominators i.e. for 827,398,342 is 1.

Thus, LCM of Fractions is 1008060.Finally, LCM of Fractions for 53/827, 60/398, 634/342 is 1008060.