Least Common Multiple of 729/41, 248/52, 974/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/41, 248/52, 974/304 quickly i.e. 88045704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/41, 248/52, 974/304 is 88045704.

LCM(729/41, 248/52, 974/304) = 88045704

LCM of 729/41, 248/52, 974/304

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 729/41,248/52,974/304

Given numbers are 729/41,248/52,974/304

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 729,248,974

Least Common Multiple of Numerators i.e. LCM of 729,248,974 is 88045704.

GCF of Denominators means GCF of 41,52,304 as per the given fractions.

GCF of 41,52,304 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,248,974

LCM of Fractions 729/41,248/52,974/304 is 88045704

2 729, 248, 974
729, 124, 487

∴ So the LCM of the given numbers is 2 x 729 x 124 x 487 = 88045704

Least Common Multiple of 729,248,974 with GCF Formula

Least Common Multiple of 729,248,974 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 729,248,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,248,974) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(729,248,974) x common factors =1 x 2 = 2

LCM(729,248,974) = ( 729 × 248 × 974 ) / 2

LCM(729,248,974) = 176091408 / 2

LCM(729,248,974) = 88045704


Lets's calculate GCF of 41,52,304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88045704/1

Therefore the LCM of Fractions 729/41,248/52,974/304 is 88045704

Greatest Common Factor of 41,52,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,52,304 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 41,52,304 . The biggest common factor number is the GCF number.
So the greatest common factor 41,52,304 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 729/41, 248/52, 974/304

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 729/41, 248/52, 974/304?

Answer: LCM of Numerators as per given numbers 729/41, 248/52, 974/304 is

LCM of Numerators i.e. for 729,248,974 is 88045704

GCF of denominators i.e. for 41,52,304 is 1.

Thus, LCM of Fractions is 88045704.Finally, LCM of Fractions for 729/41, 248/52, 974/304 is 88045704.