Least Common Multiple of 366/55, 291/26, 874/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 366/55, 291/26, 874/995 quickly i.e. 15514374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 366/55, 291/26, 874/995 is 15514374.

LCM(366/55, 291/26, 874/995) = 15514374

LCM of 366/55, 291/26, 874/995

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 366/55,291/26,874/995

Given numbers are 366/55,291/26,874/995

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 366,291,874

Least Common Multiple of Numerators i.e. LCM of 366,291,874 is 15514374.

GCF of Denominators means GCF of 55,26,995 as per the given fractions.

GCF of 55,26,995 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 366,291,874

LCM of Fractions 366/55,291/26,874/995 is 15514374

2 366, 291, 874
3 183, 291, 437
61, 97, 437

∴ So the LCM of the given numbers is 2 x 3 x 61 x 97 x 437 = 15514374

Least Common Multiple of 366,291,874 with GCF Formula

Least Common Multiple of 366,291,874 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 366,291,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,291,874) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(366,291,874) x common factors =1 x 6 = 6

LCM(366,291,874) = ( 366 × 291 × 874 ) / 6

LCM(366,291,874) = 93086244 / 6

LCM(366,291,874) = 15514374


Lets's calculate GCF of 55,26,995

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15514374/1

Therefore the LCM of Fractions 366/55,291/26,874/995 is 15514374

Greatest Common Factor of 55,26,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,26,995 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Greatest Common Factor

We found the factors 55,26,995 . The biggest common factor number is the GCF number.
So the greatest common factor 55,26,995 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 366/55, 291/26, 874/995

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 366/55, 291/26, 874/995?

Answer: LCM of Numerators as per given numbers 366/55, 291/26, 874/995 is

LCM of Numerators i.e. for 366,291,874 is 15514374

GCF of denominators i.e. for 55,26,995 is 1.

Thus, LCM of Fractions is 15514374.Finally, LCM of Fractions for 366/55, 291/26, 874/995 is 15514374.