Least Common Multiple of 87/13, 42/48, 84/41, 772/41

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/13, 42/48, 84/41, 772/41 quickly i.e. 470148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/13, 42/48, 84/41, 772/41 is 470148.

LCM(87/13, 42/48, 84/41, 772/41) = 470148

LCM of 87/13, 42/48, 84/41, 772/41

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 87/13,42/48,84/41,772/41

Given numbers are 87/13,42/48,84/41,772/41

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 87,42,84,772

Least Common Multiple of Numerators i.e. LCM of 87,42,84,772 is 470148.

GCF of Denominators means GCF of 13,48,41,41 as per the given fractions.

GCF of 13,48,41,41 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,42,84,772

LCM of Fractions 87/13,42/48,84/41,772/41 is 470148

2 87, 42, 84, 772
2 87, 21, 42, 386
3 87, 21, 21, 193
7 29, 7, 7, 193
29, 1, 1, 193

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 29 x 1 x 1 x 193 = 470148

Least Common Multiple of 87,42,84,772 with GCF Formula

Least Common Multiple of 87,42,84,772 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 87,42,84,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,42,84,772) = 1

common factors(in case of two or more numbers have common factors) = 504

GCF(87,42,84,772) x common factors =1 x 504 = 504

LCM(87,42,84,772) = ( 87 × 42 × 84 × 772 ) / 504

LCM(87,42,84,772) = 236954592 / 504

LCM(87,42,84,772) = 470148


Lets's calculate GCF of 13,48,41,41

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 470148/1

Therefore the LCM of Fractions 87/13,42/48,84/41,772/41 is 470148

Greatest Common Factor of 13,48,41,41 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,48,41,41 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Greatest Common Factor

We found the factors 13,48,41,41 . The biggest common factor number is the GCF number.
So the greatest common factor 13,48,41,41 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 87/13, 42/48, 84/41, 772/41

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 87/13, 42/48, 84/41, 772/41?

Answer: LCM of Numerators as per given numbers 87/13, 42/48, 84/41, 772/41 is

LCM of Numerators i.e. for 87,42,84,772 is 470148

GCF of denominators i.e. for 13,48,41,41 is 1.

Thus, LCM of Fractions is 470148.Finally, LCM of Fractions for 87/13, 42/48, 84/41, 772/41 is 470148.