Least Common Multiple of 25/552, 62/496, 676/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 25/552, 62/496, 676/713 quickly i.e. 523900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/552, 62/496, 676/713 is 523900.

LCM(25/552, 62/496, 676/713) = 523900

LCM of 25/552, 62/496, 676/713

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 25/552,62/496,676/713

Given numbers are 25/552,62/496,676/713

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 25,62,676

Least Common Multiple of Numerators i.e. LCM of 25,62,676 is 523900.

GCF of Denominators means GCF of 552,496,713 as per the given fractions.

GCF of 552,496,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,62,676

LCM of Fractions 25/552,62/496,676/713 is 523900

2 25, 62, 676
25, 31, 338

∴ So the LCM of the given numbers is 2 x 25 x 31 x 338 = 523900

Least Common Multiple of 25,62,676 with GCF Formula

Least Common Multiple of 25,62,676 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 25,62,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,62,676) = 1

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

GCF(25,62,676) x common factors =1 x 2 = 2

LCM(25,62,676) = ( 25 × 62 × 676 ) / 2

LCM(25,62,676) = 1047800 / 2

LCM(25,62,676) = 523900


Lets's calculate GCF of 552,496,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523900/1

Therefore the LCM of Fractions 25/552,62/496,676/713 is 523900

Greatest Common Factor of 552,496,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,496,713 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 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 552,496,713 . The biggest common factor number is the GCF number.
So the greatest common factor 552,496,713 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 25/552, 62/496, 676/713

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 25/552, 62/496, 676/713?

Answer: LCM of Numerators as per given numbers 25/552, 62/496, 676/713 is

LCM of Numerators i.e. for 25,62,676 is 523900

GCF of denominators i.e. for 552,496,713 is 1.

Thus, LCM of Fractions is 523900.Finally, LCM of Fractions for 25/552, 62/496, 676/713 is 523900.