Least Common Multiple of 77/19, 39/826, 553/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/19, 39/826, 553/204 quickly i.e. 237237 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/19, 39/826, 553/204 is 237237.

LCM(77/19, 39/826, 553/204) = 237237

LCM of 77/19, 39/826, 553/204

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 77/19,39/826,553/204

Given numbers are 77/19,39/826,553/204

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 77,39,553

Least Common Multiple of Numerators i.e. LCM of 77,39,553 is 237237.

GCF of Denominators means GCF of 19,826,204 as per the given fractions.

GCF of 19,826,204 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,39,553

LCM of Fractions 77/19,39/826,553/204 is 237237

7 77, 39, 553
11, 39, 79

∴ So the LCM of the given numbers is 7 x 11 x 39 x 79 = 237237

Least Common Multiple of 77,39,553 with GCF Formula

Least Common Multiple of 77,39,553 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 77,39,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,39,553) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,39,553) x common factors =1 x 7 = 7

LCM(77,39,553) = ( 77 × 39 × 553 ) / 7

LCM(77,39,553) = 1660659 / 7

LCM(77,39,553) = 237237


Lets's calculate GCF of 19,826,204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237237/1

Therefore the LCM of Fractions 77/19,39/826,553/204 is 237237

Greatest Common Factor of 19,826,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,826,204 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 19,826,204 . The biggest common factor number is the GCF number.
So the greatest common factor 19,826,204 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 77/19, 39/826, 553/204

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 77/19, 39/826, 553/204?

Answer: LCM of Numerators as per given numbers 77/19, 39/826, 553/204 is

LCM of Numerators i.e. for 77,39,553 is 237237

GCF of denominators i.e. for 19,826,204 is 1.

Thus, LCM of Fractions is 237237.Finally, LCM of Fractions for 77/19, 39/826, 553/204 is 237237.