Least Common Multiple of 56/552, 304/368, 293/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/552, 304/368, 293/791 quickly i.e. 623504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/552, 304/368, 293/791 is 623504.

LCM(56/552, 304/368, 293/791) = 623504

LCM of 56/552, 304/368, 293/791

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 56/552,304/368,293/791

Given numbers are 56/552,304/368,293/791

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 56,304,293

Least Common Multiple of Numerators i.e. LCM of 56,304,293 is 623504.

GCF of Denominators means GCF of 552,368,791 as per the given fractions.

GCF of 552,368,791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,304,293

LCM of Fractions 56/552,304/368,293/791 is 623504

2 56, 304, 293
2 28, 152, 293
2 14, 76, 293
7, 38, 293

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 38 x 293 = 623504

Least Common Multiple of 56,304,293 with GCF Formula

Least Common Multiple of 56,304,293 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 56,304,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,304,293) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(56,304,293) x common factors =1 x 8 = 8

LCM(56,304,293) = ( 56 × 304 × 293 ) / 8

LCM(56,304,293) = 4988032 / 8

LCM(56,304,293) = 623504


Lets's calculate GCF of 552,368,791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 623504/1

Therefore the LCM of Fractions 56/552,304/368,293/791 is 623504

Greatest Common Factor of 552,368,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,368,791 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 552,368,791 . The biggest common factor number is the GCF number.
So the greatest common factor 552,368,791 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 56/552, 304/368, 293/791

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 56/552, 304/368, 293/791?

Answer: LCM of Numerators as per given numbers 56/552, 304/368, 293/791 is

LCM of Numerators i.e. for 56,304,293 is 623504

GCF of denominators i.e. for 552,368,791 is 1.

Thus, LCM of Fractions is 623504.Finally, LCM of Fractions for 56/552, 304/368, 293/791 is 623504.