Least Common Multiple of 545/459, 857/817, 970/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 545/459, 857/817, 970/713 quickly i.e. 90610610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 545/459, 857/817, 970/713 is 90610610.

LCM(545/459, 857/817, 970/713) = 90610610

LCM of 545/459, 857/817, 970/713

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 545/459,857/817,970/713

Given numbers are 545/459,857/817,970/713

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 545,857,970

Least Common Multiple of Numerators i.e. LCM of 545,857,970 is 90610610.

GCF of Denominators means GCF of 459,817,713 as per the given fractions.

GCF of 459,817,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 545,857,970

LCM of Fractions 545/459,857/817,970/713 is 90610610

5 545, 857, 970
109, 857, 194

∴ So the LCM of the given numbers is 5 x 109 x 857 x 194 = 90610610

Least Common Multiple of 545,857,970 with GCF Formula

Least Common Multiple of 545,857,970 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 545,857,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,857,970) = 1

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

GCF(545,857,970) x common factors =1 x 5 = 5

LCM(545,857,970) = ( 545 × 857 × 970 ) / 5

LCM(545,857,970) = 453053050 / 5

LCM(545,857,970) = 90610610


Lets's calculate GCF of 459,817,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90610610/1

Therefore the LCM of Fractions 545/459,857/817,970/713 is 90610610

Greatest Common Factor of 459,817,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,817,713 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

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 459,817,713 . The biggest common factor number is the GCF number.
So the greatest common factor 459,817,713 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 545/459, 857/817, 970/713

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 545/459, 857/817, 970/713?

Answer: LCM of Numerators as per given numbers 545/459, 857/817, 970/713 is

LCM of Numerators i.e. for 545,857,970 is 90610610

GCF of denominators i.e. for 459,817,713 is 1.

Thus, LCM of Fractions is 90610610.Finally, LCM of Fractions for 545/459, 857/817, 970/713 is 90610610.