Least Common Multiple of 903/765, 158/840, 802/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 903/765, 158/840, 802/215 quickly i.e. 57212274/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 903/765, 158/840, 802/215 is 57212274/5.

LCM(903/765, 158/840, 802/215) = 57212274/5

LCM of 903/765, 158/840, 802/215

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 903/765,158/840,802/215

Given numbers are 903/765,158/840,802/215

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 903,158,802

Least Common Multiple of Numerators i.e. LCM of 903,158,802 is 57212274.

GCF of Denominators means GCF of 765,840,215 as per the given fractions.

GCF of 765,840,215 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 903,158,802

LCM of Fractions 903/765,158/840,802/215 is 57212274/5

2 903, 158, 802
903, 79, 401

∴ So the LCM of the given numbers is 2 x 903 x 79 x 401 = 57212274

Least Common Multiple of 903,158,802 with GCF Formula

Least Common Multiple of 903,158,802 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 903,158,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(903,158,802) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(903,158,802) x common factors =1 x 2 = 2

LCM(903,158,802) = ( 903 × 158 × 802 ) / 2

LCM(903,158,802) = 114424548 / 2

LCM(903,158,802) = 57212274


Lets's calculate GCF of 765,840,215

5 765, 840, 215
153, 168, 43

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57212274/5

Therefore the LCM of Fractions 903/765,158/840,802/215 is 57212274/5

Greatest Common Factor of 765,840,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,840,215 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 765,840,215 . The biggest common factor number is the GCF number.
So the greatest common factor 765,840,215 is 5.


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 903/765, 158/840, 802/215

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 903/765, 158/840, 802/215?

Answer: LCM of Numerators as per given numbers 903/765, 158/840, 802/215 is

LCM of Numerators i.e. for 903,158,802 is 57212274

GCF of denominators i.e. for 765,840,215 is 5.

Thus, LCM of Fractions is 57212274/5.Finally, LCM of Fractions for 903/765, 158/840, 802/215 is 57212274/5.