Least Common Multiple of 862/30, 756/75, 549/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 862/30, 756/75, 549/779 quickly i.e. 19875996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 862/30, 756/75, 549/779 is 19875996.

LCM(862/30, 756/75, 549/779) = 19875996

LCM of 862/30, 756/75, 549/779

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 862/30,756/75,549/779

Given numbers are 862/30,756/75,549/779

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 862,756,549

Least Common Multiple of Numerators i.e. LCM of 862,756,549 is 19875996.

GCF of Denominators means GCF of 30,75,779 as per the given fractions.

GCF of 30,75,779 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 862,756,549

LCM of Fractions 862/30,756/75,549/779 is 19875996

2 862, 756, 549
3 431, 378, 549
3 431, 126, 183
431, 42, 61

∴ So the LCM of the given numbers is 2 x 3 x 3 x 431 x 42 x 61 = 19875996

Least Common Multiple of 862,756,549 with GCF Formula

Least Common Multiple of 862,756,549 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 862,756,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,756,549) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(862,756,549) x common factors =1 x 18 = 18

LCM(862,756,549) = ( 862 × 756 × 549 ) / 18

LCM(862,756,549) = 357767928 / 18

LCM(862,756,549) = 19875996


Lets's calculate GCF of 30,75,779

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19875996/1

Therefore the LCM of Fractions 862/30,756/75,549/779 is 19875996

Greatest Common Factor of 30,75,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,75,779 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 30,75,779 . The biggest common factor number is the GCF number.
So the greatest common factor 30,75,779 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 862/30, 756/75, 549/779

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 862/30, 756/75, 549/779?

Answer: LCM of Numerators as per given numbers 862/30, 756/75, 549/779 is

LCM of Numerators i.e. for 862,756,549 is 19875996

GCF of denominators i.e. for 30,75,779 is 1.

Thus, LCM of Fractions is 19875996.Finally, LCM of Fractions for 862/30, 756/75, 549/779 is 19875996.