Least Common Multiple of 24/265, 19/513, 761/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/265, 19/513, 761/700 quickly i.e. 347016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/265, 19/513, 761/700 is 347016.

LCM(24/265, 19/513, 761/700) = 347016

LCM of 24/265, 19/513, 761/700

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 24/265,19/513,761/700

Given numbers are 24/265,19/513,761/700

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 24,19,761

Least Common Multiple of Numerators i.e. LCM of 24,19,761 is 347016.

GCF of Denominators means GCF of 265,513,700 as per the given fractions.

GCF of 265,513,700 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,19,761

LCM of Fractions 24/265,19/513,761/700 is 347016

Given numbers has no common factors except 1. So, there LCM is their product i.e 347016

Least Common Multiple of 24,19,761 with GCF Formula

Least Common Multiple of 24,19,761 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 24,19,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,19,761) = 1

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

GCF(24,19,761) x common factors =1 x 1 = 1

LCM(24,19,761) = ( 24 × 19 × 761 ) / 1

LCM(24,19,761) = 347016 / 1

LCM(24,19,761) = 347016


Lets's calculate GCF of 265,513,700

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 347016/1

Therefore the LCM of Fractions 24/265,19/513,761/700 is 347016

Greatest Common Factor of 265,513,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,513,700 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 265,513,700 . The biggest common factor number is the GCF number.
So the greatest common factor 265,513,700 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 24/265, 19/513, 761/700

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 24/265, 19/513, 761/700?

Answer: LCM of Numerators as per given numbers 24/265, 19/513, 761/700 is

LCM of Numerators i.e. for 24,19,761 is 347016

GCF of denominators i.e. for 265,513,700 is 1.

Thus, LCM of Fractions is 347016.Finally, LCM of Fractions for 24/265, 19/513, 761/700 is 347016.