Least Common Multiple of 729/852, 755/528, 554/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/852, 755/528, 554/976 quickly i.e. 304918830/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/852, 755/528, 554/976 is 304918830/4.

LCM(729/852, 755/528, 554/976) = 304918830/4

LCM of 729/852, 755/528, 554/976

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 729/852,755/528,554/976

Given numbers are 729/852,755/528,554/976

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 729,755,554

Least Common Multiple of Numerators i.e. LCM of 729,755,554 is 304918830.

GCF of Denominators means GCF of 852,528,976 as per the given fractions.

GCF of 852,528,976 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,755,554

LCM of Fractions 729/852,755/528,554/976 is 304918830/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 304918830

Least Common Multiple of 729,755,554 with GCF Formula

Least Common Multiple of 729,755,554 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 729,755,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,755,554) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(729,755,554) x common factors =1 x 1 = 1

LCM(729,755,554) = ( 729 × 755 × 554 ) / 1

LCM(729,755,554) = 304918830 / 1

LCM(729,755,554) = 304918830


Lets's calculate GCF of 852,528,976

2 852, 528, 976
2 426, 264, 488
213, 132, 244

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304918830/4

Therefore the LCM of Fractions 729/852,755/528,554/976 is 304918830/4

Greatest Common Factor of 852,528,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,528,976 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 852,528,976 . The biggest common factor number is the GCF number.
So the greatest common factor 852,528,976 is 4.


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 729/852, 755/528, 554/976

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 729/852, 755/528, 554/976?

Answer: LCM of Numerators as per given numbers 729/852, 755/528, 554/976 is

LCM of Numerators i.e. for 729,755,554 is 304918830

GCF of denominators i.e. for 852,528,976 is 4.

Thus, LCM of Fractions is 304918830/4.Finally, LCM of Fractions for 729/852, 755/528, 554/976 is 304918830/4.