Least Common Multiple of 552/715, 281/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 552/715, 281/504 quickly i.e. 155112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 552/715, 281/504 is 155112.

LCM(552/715, 281/504) = 155112

LCM of 552/715, 281/504

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 552/715,281/504

Given numbers are 552/715,281/504

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 552,281

Least Common Multiple of Numerators i.e. LCM of 552,281 is 155112.

GCF of Denominators means GCF of 715,504 as per the given fractions.

GCF of 715,504 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 552,281

LCM of Fractions 552/715,281/504 is 155112

Given numbers has no common factors except 1. So, there LCM is their product i.e 155112

Least Common Multiple of 552,281 with GCF Formula

Least Common Multiple of 552,281 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 552,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,281) = 1

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

GCF(552,281) x common factors =1 x 1 = 1

LCM(552,281) = ( 552 × 281 ) / 1

LCM(552,281) = 155112 / 1

LCM(552,281) = 155112


Lets's calculate GCF of 715,504

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155112/1

Therefore the LCM of Fractions 552/715,281/504 is 155112

Greatest Common Factor of 715,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,504 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 715,504 . The biggest common factor number is the GCF number.
So the greatest common factor 715,504 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 552/715, 281/504

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 552/715, 281/504?

Answer: LCM of Numerators as per given numbers 552/715, 281/504 is

LCM of Numerators i.e. for 552,281 is 155112

GCF of denominators i.e. for 715,504 is 1.

Thus, LCM of Fractions is 155112.Finally, LCM of Fractions for 552/715, 281/504 is 155112.