Least Common Multiple of 27/85, 428/53, 952/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/85, 428/53, 952/598 quickly i.e. 2750328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/85, 428/53, 952/598 is 2750328.

LCM(27/85, 428/53, 952/598) = 2750328

LCM of 27/85, 428/53, 952/598

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 27/85,428/53,952/598

Given numbers are 27/85,428/53,952/598

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 27,428,952

Least Common Multiple of Numerators i.e. LCM of 27,428,952 is 2750328.

GCF of Denominators means GCF of 85,53,598 as per the given fractions.

GCF of 85,53,598 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,428,952

LCM of Fractions 27/85,428/53,952/598 is 2750328

2 27, 428, 952
2 27, 214, 476
27, 107, 238

∴ So the LCM of the given numbers is 2 x 2 x 27 x 107 x 238 = 2750328

Least Common Multiple of 27,428,952 with GCF Formula

Least Common Multiple of 27,428,952 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 27,428,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,428,952) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(27,428,952) x common factors =1 x 4 = 4

LCM(27,428,952) = ( 27 × 428 × 952 ) / 4

LCM(27,428,952) = 11001312 / 4

LCM(27,428,952) = 2750328


Lets's calculate GCF of 85,53,598

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2750328/1

Therefore the LCM of Fractions 27/85,428/53,952/598 is 2750328

Greatest Common Factor of 85,53,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,53,598 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 85,53,598 . The biggest common factor number is the GCF number.
So the greatest common factor 85,53,598 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 27/85, 428/53, 952/598

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 27/85, 428/53, 952/598?

Answer: LCM of Numerators as per given numbers 27/85, 428/53, 952/598 is

LCM of Numerators i.e. for 27,428,952 is 2750328

GCF of denominators i.e. for 85,53,598 is 1.

Thus, LCM of Fractions is 2750328.Finally, LCM of Fractions for 27/85, 428/53, 952/598 is 2750328.