Least Common Multiple of 426/545, 9714/2653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 426/545, 9714/2653 quickly i.e. 689694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 426/545, 9714/2653 is 689694.

LCM(426/545, 9714/2653) = 689694

LCM of 426/545, 9714/2653

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 426/545,9714/2653

Given numbers are 426/545,9714/2653

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 426,9714

Least Common Multiple of Numerators i.e. LCM of 426,9714 is 689694.

GCF of Denominators means GCF of 545,2653 as per the given fractions.

GCF of 545,2653 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 426,9714

LCM of Fractions 426/545,9714/2653 is 689694

2 426, 9714
3 213, 4857
71, 1619

∴ So the LCM of the given numbers is 2 x 3 x 71 x 1619 = 689694

Least Common Multiple of 426,9714 with GCF Formula

Least Common Multiple of 426,9714 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 426,9714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,9714) = 6

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

GCF(426,9714) x common factors =6 x 1 = 6

LCM(426,9714) = ( 426 × 9714 ) / 6

LCM(426,9714) = 4138164 / 6

LCM(426,9714) = 689694


Lets's calculate GCF of 545,2653

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 689694/1

Therefore the LCM of Fractions 426/545,9714/2653 is 689694

Greatest Common Factor of 545,2653 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,2653 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 2653

List of positive integer factors of 2653 that divides 2653 without a remainder.

1,7,379,2653

Greatest Common Factor

We found the factors 545,2653 . The biggest common factor number is the GCF number.
So the greatest common factor 545,2653 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 426/545, 9714/2653

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 426/545, 9714/2653?

Answer: LCM of Numerators as per given numbers 426/545, 9714/2653 is

LCM of Numerators i.e. for 426,9714 is 689694

GCF of denominators i.e. for 545,2653 is 1.

Thus, LCM of Fractions is 689694.Finally, LCM of Fractions for 426/545, 9714/2653 is 689694.