Least Common Multiple of 861/85, 791/88, 274/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 861/85, 791/88, 274/798 quickly i.e. 26658282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 861/85, 791/88, 274/798 is 26658282.

LCM(861/85, 791/88, 274/798) = 26658282

LCM of 861/85, 791/88, 274/798

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 861/85,791/88,274/798

Given numbers are 861/85,791/88,274/798

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 861,791,274

Least Common Multiple of Numerators i.e. LCM of 861,791,274 is 26658282.

GCF of Denominators means GCF of 85,88,798 as per the given fractions.

GCF of 85,88,798 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 861,791,274

LCM of Fractions 861/85,791/88,274/798 is 26658282

7 861, 791, 274
123, 113, 274

∴ So the LCM of the given numbers is 7 x 123 x 113 x 274 = 26658282

Least Common Multiple of 861,791,274 with GCF Formula

Least Common Multiple of 861,791,274 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 861,791,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,791,274) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(861,791,274) x common factors =1 x 7 = 7

LCM(861,791,274) = ( 861 × 791 × 274 ) / 7

LCM(861,791,274) = 186607974 / 7

LCM(861,791,274) = 26658282


Lets's calculate GCF of 85,88,798

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26658282/1

Therefore the LCM of Fractions 861/85,791/88,274/798 is 26658282

Greatest Common Factor of 85,88,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,88,798 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 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 85,88,798 . The biggest common factor number is the GCF number.
So the greatest common factor 85,88,798 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 861/85, 791/88, 274/798

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 861/85, 791/88, 274/798?

Answer: LCM of Numerators as per given numbers 861/85, 791/88, 274/798 is

LCM of Numerators i.e. for 861,791,274 is 26658282

GCF of denominators i.e. for 85,88,798 is 1.

Thus, LCM of Fractions is 26658282.Finally, LCM of Fractions for 861/85, 791/88, 274/798 is 26658282.