Least Common Multiple of 710/19, 766/23, 775/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 710/19, 766/23, 775/615 quickly i.e. 42149150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 710/19, 766/23, 775/615 is 42149150.

LCM(710/19, 766/23, 775/615) = 42149150

LCM of 710/19, 766/23, 775/615

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 710/19,766/23,775/615

Given numbers are 710/19,766/23,775/615

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 710,766,775

Least Common Multiple of Numerators i.e. LCM of 710,766,775 is 42149150.

GCF of Denominators means GCF of 19,23,615 as per the given fractions.

GCF of 19,23,615 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 710,766,775

LCM of Fractions 710/19,766/23,775/615 is 42149150

2 710, 766, 775
5 355, 383, 775
71, 383, 155

∴ So the LCM of the given numbers is 2 x 5 x 71 x 383 x 155 = 42149150

Least Common Multiple of 710,766,775 with GCF Formula

Least Common Multiple of 710,766,775 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 710,766,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,766,775) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(710,766,775) x common factors =1 x 10 = 10

LCM(710,766,775) = ( 710 × 766 × 775 ) / 10

LCM(710,766,775) = 421491500 / 10

LCM(710,766,775) = 42149150


Lets's calculate GCF of 19,23,615

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42149150/1

Therefore the LCM of Fractions 710/19,766/23,775/615 is 42149150

Greatest Common Factor of 19,23,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,23,615 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 23

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

1,23

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 19,23,615 . The biggest common factor number is the GCF number.
So the greatest common factor 19,23,615 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 710/19, 766/23, 775/615

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 710/19, 766/23, 775/615?

Answer: LCM of Numerators as per given numbers 710/19, 766/23, 775/615 is

LCM of Numerators i.e. for 710,766,775 is 42149150

GCF of denominators i.e. for 19,23,615 is 1.

Thus, LCM of Fractions is 42149150.Finally, LCM of Fractions for 710/19, 766/23, 775/615 is 42149150.