Least Common Multiple of 87/55, 210/81, 661/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/55, 210/81, 661/713 quickly i.e. 4025490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/55, 210/81, 661/713 is 4025490.

LCM(87/55, 210/81, 661/713) = 4025490

LCM of 87/55, 210/81, 661/713

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 87/55,210/81,661/713

Given numbers are 87/55,210/81,661/713

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 87,210,661

Least Common Multiple of Numerators i.e. LCM of 87,210,661 is 4025490.

GCF of Denominators means GCF of 55,81,713 as per the given fractions.

GCF of 55,81,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,210,661

LCM of Fractions 87/55,210/81,661/713 is 4025490

3 87, 210, 661
29, 70, 661

∴ So the LCM of the given numbers is 3 x 29 x 70 x 661 = 4025490

Least Common Multiple of 87,210,661 with GCF Formula

Least Common Multiple of 87,210,661 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 87,210,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,210,661) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,210,661) x common factors =1 x 3 = 3

LCM(87,210,661) = ( 87 × 210 × 661 ) / 3

LCM(87,210,661) = 12076470 / 3

LCM(87,210,661) = 4025490


Lets's calculate GCF of 55,81,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4025490/1

Therefore the LCM of Fractions 87/55,210/81,661/713 is 4025490

Greatest Common Factor of 55,81,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,81,713 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 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 55,81,713 . The biggest common factor number is the GCF number.
So the greatest common factor 55,81,713 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 87/55, 210/81, 661/713

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 87/55, 210/81, 661/713?

Answer: LCM of Numerators as per given numbers 87/55, 210/81, 661/713 is

LCM of Numerators i.e. for 87,210,661 is 4025490

GCF of denominators i.e. for 55,81,713 is 1.

Thus, LCM of Fractions is 4025490.Finally, LCM of Fractions for 87/55, 210/81, 661/713 is 4025490.