Least Common Multiple of 25/536, 51/760, 603/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/536, 51/760, 603/797 quickly i.e. 256275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/536, 51/760, 603/797 is 256275.

LCM(25/536, 51/760, 603/797) = 256275

LCM of 25/536, 51/760, 603/797

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 25/536,51/760,603/797

Given numbers are 25/536,51/760,603/797

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 25,51,603

Least Common Multiple of Numerators i.e. LCM of 25,51,603 is 256275.

GCF of Denominators means GCF of 536,760,797 as per the given fractions.

GCF of 536,760,797 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,51,603

LCM of Fractions 25/536,51/760,603/797 is 256275

3 25, 51, 603
25, 17, 201

∴ So the LCM of the given numbers is 3 x 25 x 17 x 201 = 256275

Least Common Multiple of 25,51,603 with GCF Formula

Least Common Multiple of 25,51,603 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 25,51,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,51,603) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(25,51,603) x common factors =1 x 3 = 3

LCM(25,51,603) = ( 25 × 51 × 603 ) / 3

LCM(25,51,603) = 768825 / 3

LCM(25,51,603) = 256275


Lets's calculate GCF of 536,760,797

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256275/1

Therefore the LCM of Fractions 25/536,51/760,603/797 is 256275

Greatest Common Factor of 536,760,797 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,760,797 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Greatest Common Factor

We found the factors 536,760,797 . The biggest common factor number is the GCF number.
So the greatest common factor 536,760,797 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 25/536, 51/760, 603/797

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 25/536, 51/760, 603/797?

Answer: LCM of Numerators as per given numbers 25/536, 51/760, 603/797 is

LCM of Numerators i.e. for 25,51,603 is 256275

GCF of denominators i.e. for 536,760,797 is 1.

Thus, LCM of Fractions is 256275.Finally, LCM of Fractions for 25/536, 51/760, 603/797 is 256275.