Least Common Multiple of 36/879, 88/477, 616/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/879, 88/477, 616/148 quickly i.e. 5544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/879, 88/477, 616/148 is 5544.

LCM(36/879, 88/477, 616/148) = 5544

LCM of 36/879, 88/477, 616/148

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 36/879,88/477,616/148

Given numbers are 36/879,88/477,616/148

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 36,88,616

Least Common Multiple of Numerators i.e. LCM of 36,88,616 is 5544.

GCF of Denominators means GCF of 879,477,148 as per the given fractions.

GCF of 879,477,148 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,88,616

LCM of Fractions 36/879,88/477,616/148 is 5544

2 36, 88, 616
2 18, 44, 308
2 9, 22, 154
11 9, 11, 77
9, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 9 x 1 x 7 = 5544

Least Common Multiple of 36,88,616 with GCF Formula

Least Common Multiple of 36,88,616 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 36,88,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,88,616) = 4

common factors(in case of two or more numbers have common factors) = 88

GCF(36,88,616) x common factors =4 x 88 = 352

LCM(36,88,616) = ( 36 × 88 × 616 ) / 352

LCM(36,88,616) = 1951488 / 352

LCM(36,88,616) = 5544


Lets's calculate GCF of 879,477,148

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5544/1

Therefore the LCM of Fractions 36/879,88/477,616/148 is 5544

Greatest Common Factor of 879,477,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 879,477,148 By Matching Biggest Common Factor Method

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 879,477,148 . The biggest common factor number is the GCF number.
So the greatest common factor 879,477,148 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 36/879, 88/477, 616/148

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 36/879, 88/477, 616/148?

Answer: LCM of Numerators as per given numbers 36/879, 88/477, 616/148 is

LCM of Numerators i.e. for 36,88,616 is 5544

GCF of denominators i.e. for 879,477,148 is 1.

Thus, LCM of Fractions is 5544.Finally, LCM of Fractions for 36/879, 88/477, 616/148 is 5544.