Least Common Multiple of 480/29, 767/85, 735/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/29, 767/85, 735/737 quickly i.e. 18039840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/29, 767/85, 735/737 is 18039840.

LCM(480/29, 767/85, 735/737) = 18039840

LCM of 480/29, 767/85, 735/737

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 480/29,767/85,735/737

Given numbers are 480/29,767/85,735/737

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 480,767,735

Least Common Multiple of Numerators i.e. LCM of 480,767,735 is 18039840.

GCF of Denominators means GCF of 29,85,737 as per the given fractions.

GCF of 29,85,737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,767,735

LCM of Fractions 480/29,767/85,735/737 is 18039840

3 480, 767, 735
5 160, 767, 245
32, 767, 49

∴ So the LCM of the given numbers is 3 x 5 x 32 x 767 x 49 = 18039840

Least Common Multiple of 480,767,735 with GCF Formula

Least Common Multiple of 480,767,735 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 480,767,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,767,735) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(480,767,735) x common factors =1 x 15 = 15

LCM(480,767,735) = ( 480 × 767 × 735 ) / 15

LCM(480,767,735) = 270597600 / 15

LCM(480,767,735) = 18039840


Lets's calculate GCF of 29,85,737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18039840/1

Therefore the LCM of Fractions 480/29,767/85,735/737 is 18039840

Greatest Common Factor of 29,85,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,85,737 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 29,85,737 . The biggest common factor number is the GCF number.
So the greatest common factor 29,85,737 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 480/29, 767/85, 735/737

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 480/29, 767/85, 735/737?

Answer: LCM of Numerators as per given numbers 480/29, 767/85, 735/737 is

LCM of Numerators i.e. for 480,767,735 is 18039840

GCF of denominators i.e. for 29,85,737 is 1.

Thus, LCM of Fractions is 18039840.Finally, LCM of Fractions for 480/29, 767/85, 735/737 is 18039840.