Least Common Multiple of 87/89, 45/91, 490/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/89, 45/91, 490/657 quickly i.e. 127890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/89, 45/91, 490/657 is 127890.

LCM(87/89, 45/91, 490/657) = 127890

LCM of 87/89, 45/91, 490/657

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 87/89,45/91,490/657

Given numbers are 87/89,45/91,490/657

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 87,45,490

Least Common Multiple of Numerators i.e. LCM of 87,45,490 is 127890.

GCF of Denominators means GCF of 89,91,657 as per the given fractions.

GCF of 89,91,657 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,45,490

LCM of Fractions 87/89,45/91,490/657 is 127890

3 87, 45, 490
5 29, 15, 490
29, 3, 98

∴ So the LCM of the given numbers is 3 x 5 x 29 x 3 x 98 = 127890

Least Common Multiple of 87,45,490 with GCF Formula

Least Common Multiple of 87,45,490 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 87,45,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,45,490) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(87,45,490) x common factors =1 x 15 = 15

LCM(87,45,490) = ( 87 × 45 × 490 ) / 15

LCM(87,45,490) = 1918350 / 15

LCM(87,45,490) = 127890


Lets's calculate GCF of 89,91,657

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127890/1

Therefore the LCM of Fractions 87/89,45/91,490/657 is 127890

Greatest Common Factor of 89,91,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,91,657 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 89,91,657 . The biggest common factor number is the GCF number.
So the greatest common factor 89,91,657 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 87/89, 45/91, 490/657

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 87/89, 45/91, 490/657?

Answer: LCM of Numerators as per given numbers 87/89, 45/91, 490/657 is

LCM of Numerators i.e. for 87,45,490 is 127890

GCF of denominators i.e. for 89,91,657 is 1.

Thus, LCM of Fractions is 127890.Finally, LCM of Fractions for 87/89, 45/91, 490/657 is 127890.