Least Common Multiple of 745/76, 480/89, 815/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 745/76, 480/89, 815/249 quickly i.e. 11657760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 745/76, 480/89, 815/249 is 11657760.

LCM(745/76, 480/89, 815/249) = 11657760

LCM of 745/76, 480/89, 815/249

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 745/76,480/89,815/249

Given numbers are 745/76,480/89,815/249

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 745,480,815

Least Common Multiple of Numerators i.e. LCM of 745,480,815 is 11657760.

GCF of Denominators means GCF of 76,89,249 as per the given fractions.

GCF of 76,89,249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 745,480,815

LCM of Fractions 745/76,480/89,815/249 is 11657760

5 745, 480, 815
149, 96, 163

∴ So the LCM of the given numbers is 5 x 149 x 96 x 163 = 11657760

Least Common Multiple of 745,480,815 with GCF Formula

Least Common Multiple of 745,480,815 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 745,480,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,480,815) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(745,480,815) x common factors =5 x 5 = 25

LCM(745,480,815) = ( 745 × 480 × 815 ) / 25

LCM(745,480,815) = 291444000 / 25

LCM(745,480,815) = 11657760


Lets's calculate GCF of 76,89,249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11657760/1

Therefore the LCM of Fractions 745/76,480/89,815/249 is 11657760

Greatest Common Factor of 76,89,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,89,249 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 76,89,249 . The biggest common factor number is the GCF number.
So the greatest common factor 76,89,249 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 745/76, 480/89, 815/249

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 745/76, 480/89, 815/249?

Answer: LCM of Numerators as per given numbers 745/76, 480/89, 815/249 is

LCM of Numerators i.e. for 745,480,815 is 11657760

GCF of denominators i.e. for 76,89,249 is 1.

Thus, LCM of Fractions is 11657760.Finally, LCM of Fractions for 745/76, 480/89, 815/249 is 11657760.