Least Common Multiple of 813/34, 138/77, 552/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 813/34, 138/77, 552/96 quickly i.e. 149592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/34, 138/77, 552/96 is 149592.

LCM(813/34, 138/77, 552/96) = 149592

LCM of 813/34, 138/77, 552/96

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 813/34,138/77,552/96

Given numbers are 813/34,138/77,552/96

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 813,138,552

Least Common Multiple of Numerators i.e. LCM of 813,138,552 is 149592.

GCF of Denominators means GCF of 34,77,96 as per the given fractions.

GCF of 34,77,96 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,138,552

LCM of Fractions 813/34,138/77,552/96 is 149592

2 813, 138, 552
3 813, 69, 276
23 271, 23, 92
271, 1, 4

∴ So the LCM of the given numbers is 2 x 3 x 23 x 271 x 1 x 4 = 149592

Least Common Multiple of 813,138,552 with GCF Formula

Least Common Multiple of 813,138,552 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 813,138,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,138,552) = 3

common factors(in case of two or more numbers have common factors) = 138

GCF(813,138,552) x common factors =3 x 138 = 414

LCM(813,138,552) = ( 813 × 138 × 552 ) / 414

LCM(813,138,552) = 61931088 / 414

LCM(813,138,552) = 149592


Lets's calculate GCF of 34,77,96

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149592/1

Therefore the LCM of Fractions 813/34,138/77,552/96 is 149592

Greatest Common Factor of 34,77,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,77,96 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 77

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

1,7,11,77

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Greatest Common Factor

We found the factors 34,77,96 . The biggest common factor number is the GCF number.
So the greatest common factor 34,77,96 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 813/34, 138/77, 552/96

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 813/34, 138/77, 552/96?

Answer: LCM of Numerators as per given numbers 813/34, 138/77, 552/96 is

LCM of Numerators i.e. for 813,138,552 is 149592

GCF of denominators i.e. for 34,77,96 is 1.

Thus, LCM of Fractions is 149592.Finally, LCM of Fractions for 813/34, 138/77, 552/96 is 149592.