Least Common Multiple of 902/378, 165/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 902/378, 165/759 quickly i.e. 4510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 902/378, 165/759 is 4510.

LCM(902/378, 165/759) = 4510

LCM of 902/378, 165/759

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 902/378,165/759

Given numbers are 902/378,165/759

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 902,165

Least Common Multiple of Numerators i.e. LCM of 902,165 is 13530.

GCF of Denominators means GCF of 378,759 as per the given fractions.

GCF of 378,759 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 902,165

LCM of Fractions 902/378,165/759 is 4510

11 902, 165
82, 15

∴ So the LCM of the given numbers is 11 x 82 x 15 = 13530

Least Common Multiple of 902,165 with GCF Formula

Least Common Multiple of 902,165 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 902,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,165) = 11

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

GCF(902,165) x common factors =11 x 1 = 11

LCM(902,165) = ( 902 × 165 ) / 11

LCM(902,165) = 148830 / 11

LCM(902,165) = 13530


Lets's calculate GCF of 378,759

3 378, 759
126, 253

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13530/3

Therefore the LCM of Fractions 902/378,165/759 is 4510

Greatest Common Factor of 378,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,759 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 378,759 . The biggest common factor number is the GCF number.
So the greatest common factor 378,759 is 3.


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 902/378, 165/759

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 902/378, 165/759?

Answer: LCM of Numerators as per given numbers 902/378, 165/759 is

LCM of Numerators i.e. for 902,165 is 13530

GCF of denominators i.e. for 378,759 is 3.

Thus, LCM of Fractions is 4510.Finally, LCM of Fractions for 902/378, 165/759 is 4510.