Least Common Multiple of 85/638, 31/666, 274/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/638, 31/666, 274/708 quickly i.e. 360995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/638, 31/666, 274/708 is 360995.

LCM(85/638, 31/666, 274/708) = 360995

LCM of 85/638, 31/666, 274/708

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 85/638,31/666,274/708

Given numbers are 85/638,31/666,274/708

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 85,31,274

Least Common Multiple of Numerators i.e. LCM of 85,31,274 is 721990.

GCF of Denominators means GCF of 638,666,708 as per the given fractions.

GCF of 638,666,708 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,31,274

LCM of Fractions 85/638,31/666,274/708 is 360995

Given numbers has no common factors except 1. So, there LCM is their product i.e 721990

Least Common Multiple of 85,31,274 with GCF Formula

Least Common Multiple of 85,31,274 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 85,31,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,31,274) = 1

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

GCF(85,31,274) x common factors =1 x 1 = 1

LCM(85,31,274) = ( 85 × 31 × 274 ) / 1

LCM(85,31,274) = 721990 / 1

LCM(85,31,274) = 721990


Lets's calculate GCF of 638,666,708

2 638, 666, 708
319, 333, 354

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 721990/2

Therefore the LCM of Fractions 85/638,31/666,274/708 is 360995

Greatest Common Factor of 638,666,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,666,708 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 638,666,708 . The biggest common factor number is the GCF number.
So the greatest common factor 638,666,708 is 2.


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 85/638, 31/666, 274/708

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 85/638, 31/666, 274/708?

Answer: LCM of Numerators as per given numbers 85/638, 31/666, 274/708 is

LCM of Numerators i.e. for 85,31,274 is 721990

GCF of denominators i.e. for 638,666,708 is 2.

Thus, LCM of Fractions is 360995.Finally, LCM of Fractions for 85/638, 31/666, 274/708 is 360995.