Least Common Multiple of 77/855, 88/706, 189/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/855, 88/706, 189/416 quickly i.e. 16632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/855, 88/706, 189/416 is 16632.

LCM(77/855, 88/706, 189/416) = 16632

LCM of 77/855, 88/706, 189/416

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 77/855,88/706,189/416

Given numbers are 77/855,88/706,189/416

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 77,88,189

Least Common Multiple of Numerators i.e. LCM of 77,88,189 is 16632.

GCF of Denominators means GCF of 855,706,416 as per the given fractions.

GCF of 855,706,416 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,88,189

LCM of Fractions 77/855,88/706,189/416 is 16632

7 77, 88, 189
11 11, 88, 27
1, 8, 27

∴ So the LCM of the given numbers is 7 x 11 x 1 x 8 x 27 = 16632

Least Common Multiple of 77,88,189 with GCF Formula

Least Common Multiple of 77,88,189 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 77,88,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,88,189) = 1

common factors(in case of two or more numbers have common factors) = 77

GCF(77,88,189) x common factors =1 x 77 = 77

LCM(77,88,189) = ( 77 × 88 × 189 ) / 77

LCM(77,88,189) = 1280664 / 77

LCM(77,88,189) = 16632


Lets's calculate GCF of 855,706,416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16632/1

Therefore the LCM of Fractions 77/855,88/706,189/416 is 16632

Greatest Common Factor of 855,706,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,706,416 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 855,706,416 . The biggest common factor number is the GCF number.
So the greatest common factor 855,706,416 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 77/855, 88/706, 189/416

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 77/855, 88/706, 189/416?

Answer: LCM of Numerators as per given numbers 77/855, 88/706, 189/416 is

LCM of Numerators i.e. for 77,88,189 is 16632

GCF of denominators i.e. for 855,706,416 is 1.

Thus, LCM of Fractions is 16632.Finally, LCM of Fractions for 77/855, 88/706, 189/416 is 16632.