Least Common Multiple of 77/18, 216/96, 132/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/18, 216/96, 132/980 quickly i.e. 8316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/18, 216/96, 132/980 is 8316.

LCM(77/18, 216/96, 132/980) = 8316

LCM of 77/18, 216/96, 132/980

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 77/18,216/96,132/980

Given numbers are 77/18,216/96,132/980

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 77,216,132

Least Common Multiple of Numerators i.e. LCM of 77,216,132 is 16632.

GCF of Denominators means GCF of 18,96,980 as per the given fractions.

GCF of 18,96,980 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,216,132

LCM of Fractions 77/18,216/96,132/980 is 8316

2 77, 216, 132
2 77, 108, 66
3 77, 54, 33
11 77, 18, 11
7, 18, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 7 x 18 x 1 = 16632

Least Common Multiple of 77,216,132 with GCF Formula

Least Common Multiple of 77,216,132 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 77,216,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,216,132) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(77,216,132) x common factors =1 x 132 = 132

LCM(77,216,132) = ( 77 × 216 × 132 ) / 132

LCM(77,216,132) = 2195424 / 132

LCM(77,216,132) = 16632


Lets's calculate GCF of 18,96,980

2 18, 96, 980
9, 48, 490

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16632/2

Therefore the LCM of Fractions 77/18,216/96,132/980 is 8316

Greatest Common Factor of 18,96,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,96,980 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 18,96,980 . The biggest common factor number is the GCF number.
So the greatest common factor 18,96,980 is 2.


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 77/18, 216/96, 132/980

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 77/18, 216/96, 132/980?

Answer: LCM of Numerators as per given numbers 77/18, 216/96, 132/980 is

LCM of Numerators i.e. for 77,216,132 is 16632

GCF of denominators i.e. for 18,96,980 is 2.

Thus, LCM of Fractions is 8316.Finally, LCM of Fractions for 77/18, 216/96, 132/980 is 8316.