Least Common Multiple of 49/77, 79/818, 711/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/77, 79/818, 711/252 quickly i.e. 34839 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/77, 79/818, 711/252 is 34839.

LCM(49/77, 79/818, 711/252) = 34839

LCM of 49/77, 79/818, 711/252

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 49/77,79/818,711/252

Given numbers are 49/77,79/818,711/252

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 49,79,711

Least Common Multiple of Numerators i.e. LCM of 49,79,711 is 34839.

GCF of Denominators means GCF of 77,818,252 as per the given fractions.

GCF of 77,818,252 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,79,711

LCM of Fractions 49/77,79/818,711/252 is 34839

79 49, 79, 711
49, 1, 9

∴ So the LCM of the given numbers is 79 x 49 x 1 x 9 = 34839

Least Common Multiple of 49,79,711 with GCF Formula

Least Common Multiple of 49,79,711 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 49,79,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,79,711) = 1

common factors(in case of two or more numbers have common factors) = 79

GCF(49,79,711) x common factors =1 x 79 = 79

LCM(49,79,711) = ( 49 × 79 × 711 ) / 79

LCM(49,79,711) = 2752281 / 79

LCM(49,79,711) = 34839


Lets's calculate GCF of 77,818,252

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34839/1

Therefore the LCM of Fractions 49/77,79/818,711/252 is 34839

Greatest Common Factor of 77,818,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,818,252 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 77,818,252 . The biggest common factor number is the GCF number.
So the greatest common factor 77,818,252 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 49/77, 79/818, 711/252

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 49/77, 79/818, 711/252?

Answer: LCM of Numerators as per given numbers 49/77, 79/818, 711/252 is

LCM of Numerators i.e. for 49,79,711 is 34839

GCF of denominators i.e. for 77,818,252 is 1.

Thus, LCM of Fractions is 34839.Finally, LCM of Fractions for 49/77, 79/818, 711/252 is 34839.