Least Common Multiple of 87/550, 61/299, 316/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/550, 61/299, 316/771 quickly i.e. 1677012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/550, 61/299, 316/771 is 1677012.

LCM(87/550, 61/299, 316/771) = 1677012

LCM of 87/550, 61/299, 316/771

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 87/550,61/299,316/771

Given numbers are 87/550,61/299,316/771

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 87,61,316

Least Common Multiple of Numerators i.e. LCM of 87,61,316 is 1677012.

GCF of Denominators means GCF of 550,299,771 as per the given fractions.

GCF of 550,299,771 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,61,316

LCM of Fractions 87/550,61/299,316/771 is 1677012

Given numbers has no common factors except 1. So, there LCM is their product i.e 1677012

Least Common Multiple of 87,61,316 with GCF Formula

Least Common Multiple of 87,61,316 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 87,61,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,61,316) = 1

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

GCF(87,61,316) x common factors =1 x 1 = 1

LCM(87,61,316) = ( 87 × 61 × 316 ) / 1

LCM(87,61,316) = 1677012 / 1

LCM(87,61,316) = 1677012


Lets's calculate GCF of 550,299,771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1677012/1

Therefore the LCM of Fractions 87/550,61/299,316/771 is 1677012

Greatest Common Factor of 550,299,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,299,771 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 550,299,771 . The biggest common factor number is the GCF number.
So the greatest common factor 550,299,771 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 87/550, 61/299, 316/771

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 87/550, 61/299, 316/771?

Answer: LCM of Numerators as per given numbers 87/550, 61/299, 316/771 is

LCM of Numerators i.e. for 87,61,316 is 1677012

GCF of denominators i.e. for 550,299,771 is 1.

Thus, LCM of Fractions is 1677012.Finally, LCM of Fractions for 87/550, 61/299, 316/771 is 1677012.