Least Common Multiple of 76/891, 55/403, 208/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/891, 55/403, 208/929 quickly i.e. 217360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/891, 55/403, 208/929 is 217360.

LCM(76/891, 55/403, 208/929) = 217360

LCM of 76/891, 55/403, 208/929

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 76/891,55/403,208/929

Given numbers are 76/891,55/403,208/929

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 76,55,208

Least Common Multiple of Numerators i.e. LCM of 76,55,208 is 217360.

GCF of Denominators means GCF of 891,403,929 as per the given fractions.

GCF of 891,403,929 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,55,208

LCM of Fractions 76/891,55/403,208/929 is 217360

2 76, 55, 208
2 38, 55, 104
19, 55, 52

∴ So the LCM of the given numbers is 2 x 2 x 19 x 55 x 52 = 217360

Least Common Multiple of 76,55,208 with GCF Formula

Least Common Multiple of 76,55,208 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 76,55,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,55,208) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,55,208) x common factors =1 x 4 = 4

LCM(76,55,208) = ( 76 × 55 × 208 ) / 4

LCM(76,55,208) = 869440 / 4

LCM(76,55,208) = 217360


Lets's calculate GCF of 891,403,929

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217360/1

Therefore the LCM of Fractions 76/891,55/403,208/929 is 217360

Greatest Common Factor of 891,403,929 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,403,929 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Greatest Common Factor

We found the factors 891,403,929 . The biggest common factor number is the GCF number.
So the greatest common factor 891,403,929 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 76/891, 55/403, 208/929

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 76/891, 55/403, 208/929?

Answer: LCM of Numerators as per given numbers 76/891, 55/403, 208/929 is

LCM of Numerators i.e. for 76,55,208 is 217360

GCF of denominators i.e. for 891,403,929 is 1.

Thus, LCM of Fractions is 217360.Finally, LCM of Fractions for 76/891, 55/403, 208/929 is 217360.