Least Common Multiple of 680/30, 759/23, 560/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 680/30, 759/23, 560/554 quickly i.e. 7225680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 680/30, 759/23, 560/554 is 7225680.

LCM(680/30, 759/23, 560/554) = 7225680

LCM of 680/30, 759/23, 560/554

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 680/30,759/23,560/554

Given numbers are 680/30,759/23,560/554

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 680,759,560

Least Common Multiple of Numerators i.e. LCM of 680,759,560 is 7225680.

GCF of Denominators means GCF of 30,23,554 as per the given fractions.

GCF of 30,23,554 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 680,759,560

LCM of Fractions 680/30,759/23,560/554 is 7225680

2 680, 759, 560
2 340, 759, 280
2 170, 759, 140
5 85, 759, 70
17, 759, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 17 x 759 x 14 = 7225680

Least Common Multiple of 680,759,560 with GCF Formula

Least Common Multiple of 680,759,560 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 680,759,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,759,560) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(680,759,560) x common factors =1 x 40 = 40

LCM(680,759,560) = ( 680 × 759 × 560 ) / 40

LCM(680,759,560) = 289027200 / 40

LCM(680,759,560) = 7225680


Lets's calculate GCF of 30,23,554

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7225680/1

Therefore the LCM of Fractions 680/30,759/23,560/554 is 7225680

Greatest Common Factor of 30,23,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,23,554 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 30,23,554 . The biggest common factor number is the GCF number.
So the greatest common factor 30,23,554 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 680/30, 759/23, 560/554

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 680/30, 759/23, 560/554?

Answer: LCM of Numerators as per given numbers 680/30, 759/23, 560/554 is

LCM of Numerators i.e. for 680,759,560 is 7225680

GCF of denominators i.e. for 30,23,554 is 1.

Thus, LCM of Fractions is 7225680.Finally, LCM of Fractions for 680/30, 759/23, 560/554 is 7225680.