Least Common Multiple of 87/30, 467/15, 548/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/30, 467/15, 548/691 quickly i.e. 22264692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/30, 467/15, 548/691 is 22264692.

LCM(87/30, 467/15, 548/691) = 22264692

LCM of 87/30, 467/15, 548/691

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 87/30,467/15,548/691

Given numbers are 87/30,467/15,548/691

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 87,467,548

Least Common Multiple of Numerators i.e. LCM of 87,467,548 is 22264692.

GCF of Denominators means GCF of 30,15,691 as per the given fractions.

GCF of 30,15,691 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,467,548

LCM of Fractions 87/30,467/15,548/691 is 22264692

Given numbers has no common factors except 1. So, there LCM is their product i.e 22264692

Least Common Multiple of 87,467,548 with GCF Formula

Least Common Multiple of 87,467,548 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 87,467,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,467,548) = 1

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

GCF(87,467,548) x common factors =1 x 1 = 1

LCM(87,467,548) = ( 87 × 467 × 548 ) / 1

LCM(87,467,548) = 22264692 / 1

LCM(87,467,548) = 22264692


Lets's calculate GCF of 30,15,691

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22264692/1

Therefore the LCM of Fractions 87/30,467/15,548/691 is 22264692

Greatest Common Factor of 30,15,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,15,691 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors 30,15,691 . The biggest common factor number is the GCF number.
So the greatest common factor 30,15,691 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 87/30, 467/15, 548/691

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 87/30, 467/15, 548/691?

Answer: LCM of Numerators as per given numbers 87/30, 467/15, 548/691 is

LCM of Numerators i.e. for 87,467,548 is 22264692

GCF of denominators i.e. for 30,15,691 is 1.

Thus, LCM of Fractions is 22264692.Finally, LCM of Fractions for 87/30, 467/15, 548/691 is 22264692.