Least Common Multiple of 653/544, 698/739, 315/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 653/544, 698/739, 315/680 quickly i.e. 143575110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 653/544, 698/739, 315/680 is 143575110.

LCM(653/544, 698/739, 315/680) = 143575110

LCM of 653/544, 698/739, 315/680

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 653/544,698/739,315/680

Given numbers are 653/544,698/739,315/680

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 653,698,315

Least Common Multiple of Numerators i.e. LCM of 653,698,315 is 143575110.

GCF of Denominators means GCF of 544,739,680 as per the given fractions.

GCF of 544,739,680 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 653,698,315

LCM of Fractions 653/544,698/739,315/680 is 143575110

Given numbers has no common factors except 1. So, there LCM is their product i.e 143575110

Least Common Multiple of 653,698,315 with GCF Formula

Least Common Multiple of 653,698,315 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 653,698,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,698,315) = 1

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

GCF(653,698,315) x common factors =1 x 1 = 1

LCM(653,698,315) = ( 653 × 698 × 315 ) / 1

LCM(653,698,315) = 143575110 / 1

LCM(653,698,315) = 143575110


Lets's calculate GCF of 544,739,680

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143575110/1

Therefore the LCM of Fractions 653/544,698/739,315/680 is 143575110

Greatest Common Factor of 544,739,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,739,680 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 544,739,680 . The biggest common factor number is the GCF number.
So the greatest common factor 544,739,680 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 653/544, 698/739, 315/680

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 653/544, 698/739, 315/680?

Answer: LCM of Numerators as per given numbers 653/544, 698/739, 315/680 is

LCM of Numerators i.e. for 653,698,315 is 143575110

GCF of denominators i.e. for 544,739,680 is 1.

Thus, LCM of Fractions is 143575110.Finally, LCM of Fractions for 653/544, 698/739, 315/680 is 143575110.