Least Common Multiple of 735/536, 2370/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 735/536, 2370/606 quickly i.e. 58065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/536, 2370/606 is 58065.

LCM(735/536, 2370/606) = 58065

LCM of 735/536, 2370/606

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 735/536,2370/606

Given numbers are 735/536,2370/606

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 735,2370

Least Common Multiple of Numerators i.e. LCM of 735,2370 is 116130.

GCF of Denominators means GCF of 536,606 as per the given fractions.

GCF of 536,606 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,2370

LCM of Fractions 735/536,2370/606 is 58065

3 735, 2370
5 245, 790
49, 158

∴ So the LCM of the given numbers is 3 x 5 x 49 x 158 = 116130

Least Common Multiple of 735,2370 with GCF Formula

Least Common Multiple of 735,2370 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 735,2370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,2370) = 15

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

GCF(735,2370) x common factors =15 x 1 = 15

LCM(735,2370) = ( 735 × 2370 ) / 15

LCM(735,2370) = 1741950 / 15

LCM(735,2370) = 116130


Lets's calculate GCF of 536,606

2 536, 606
268, 303

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116130/2

Therefore the LCM of Fractions 735/536,2370/606 is 58065

Greatest Common Factor of 536,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,606 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 536,606 . The biggest common factor number is the GCF number.
So the greatest common factor 536,606 is 2.


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 735/536, 2370/606

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 735/536, 2370/606?

Answer: LCM of Numerators as per given numbers 735/536, 2370/606 is

LCM of Numerators i.e. for 735,2370 is 116130

GCF of denominators i.e. for 536,606 is 2.

Thus, LCM of Fractions is 58065.Finally, LCM of Fractions for 735/536, 2370/606 is 58065.