Least Common Multiple of 735/41, 740/4428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 735/41, 740/4428 quickly i.e. 108780/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/41, 740/4428 is 108780/41.

LCM(735/41, 740/4428) = 108780/41

LCM of 735/41, 740/4428

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 735/41,740/4428

Given numbers are 735/41,740/4428

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 735,740

Least Common Multiple of Numerators i.e. LCM of 735,740 is 108780.

GCF of Denominators means GCF of 41,4428 as per the given fractions.

GCF of 41,4428 is 41 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,740

LCM of Fractions 735/41,740/4428 is 108780/41

5 735, 740
147, 148

∴ So the LCM of the given numbers is 5 x 147 x 148 = 108780

Least Common Multiple of 735,740 with GCF Formula

Least Common Multiple of 735,740 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 735,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,740) = 5

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

GCF(735,740) x common factors =5 x 1 = 5

LCM(735,740) = ( 735 × 740 ) / 5

LCM(735,740) = 543900 / 5

LCM(735,740) = 108780


Lets's calculate GCF of 41,4428

41 41, 4428
1, 108

∴ So the GCF of the given numbers is 41 = 41

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108780/41

Therefore the LCM of Fractions 735/41,740/4428 is 108780/41

Greatest Common Factor of 41,4428 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,4428 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 4428

List of positive integer factors of 4428 that divides 4428 without a remainder.

1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428

Greatest Common Factor

We found the factors 41,4428 . The biggest common factor number is the GCF number.
So the greatest common factor 41,4428 is 41.


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 735/41, 740/4428

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 735/41, 740/4428?

Answer: LCM of Numerators as per given numbers 735/41, 740/4428 is

LCM of Numerators i.e. for 735,740 is 108780

GCF of denominators i.e. for 41,4428 is 41.

Thus, LCM of Fractions is 108780/41.Finally, LCM of Fractions for 735/41, 740/4428 is 108780/41.