Least Common Multiple of 545/708, 505/725, 402/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 545/708, 505/725, 402/731 quickly i.e. 22128090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 545/708, 505/725, 402/731 is 22128090.

LCM(545/708, 505/725, 402/731) = 22128090

LCM of 545/708, 505/725, 402/731

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 545/708,505/725,402/731

Given numbers are 545/708,505/725,402/731

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 545,505,402

Least Common Multiple of Numerators i.e. LCM of 545,505,402 is 22128090.

GCF of Denominators means GCF of 708,725,731 as per the given fractions.

GCF of 708,725,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 545,505,402

LCM of Fractions 545/708,505/725,402/731 is 22128090

5 545, 505, 402
109, 101, 402

∴ So the LCM of the given numbers is 5 x 109 x 101 x 402 = 22128090

Least Common Multiple of 545,505,402 with GCF Formula

Least Common Multiple of 545,505,402 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 545,505,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,505,402) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(545,505,402) x common factors =1 x 5 = 5

LCM(545,505,402) = ( 545 × 505 × 402 ) / 5

LCM(545,505,402) = 110640450 / 5

LCM(545,505,402) = 22128090


Lets's calculate GCF of 708,725,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22128090/1

Therefore the LCM of Fractions 545/708,505/725,402/731 is 22128090

Greatest Common Factor of 708,725,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,725,731 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 708,725,731 . The biggest common factor number is the GCF number.
So the greatest common factor 708,725,731 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 545/708, 505/725, 402/731

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 545/708, 505/725, 402/731?

Answer: LCM of Numerators as per given numbers 545/708, 505/725, 402/731 is

LCM of Numerators i.e. for 545,505,402 is 22128090

GCF of denominators i.e. for 708,725,731 is 1.

Thus, LCM of Fractions is 22128090.Finally, LCM of Fractions for 545/708, 505/725, 402/731 is 22128090.