Least Common Multiple of 782/85, 789/17, 918/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 782/85, 789/17, 918/630 quickly i.e. 5552982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 782/85, 789/17, 918/630 is 5552982.

LCM(782/85, 789/17, 918/630) = 5552982

LCM of 782/85, 789/17, 918/630

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 782/85,789/17,918/630

Given numbers are 782/85,789/17,918/630

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 782,789,918

Least Common Multiple of Numerators i.e. LCM of 782,789,918 is 5552982.

GCF of Denominators means GCF of 85,17,630 as per the given fractions.

GCF of 85,17,630 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 782,789,918

LCM of Fractions 782/85,789/17,918/630 is 5552982

2 782, 789, 918
3 391, 789, 459
17 391, 263, 153
23, 263, 9

∴ So the LCM of the given numbers is 2 x 3 x 17 x 23 x 263 x 9 = 5552982

Least Common Multiple of 782,789,918 with GCF Formula

Least Common Multiple of 782,789,918 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 782,789,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,789,918) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(782,789,918) x common factors =1 x 102 = 102

LCM(782,789,918) = ( 782 × 789 × 918 ) / 102

LCM(782,789,918) = 566404164 / 102

LCM(782,789,918) = 5552982


Lets's calculate GCF of 85,17,630

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5552982/1

Therefore the LCM of Fractions 782/85,789/17,918/630 is 5552982

Greatest Common Factor of 85,17,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,17,630 By Matching Biggest Common Factor Method

Factors of 85

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

1,5,17,85

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 85,17,630 . The biggest common factor number is the GCF number.
So the greatest common factor 85,17,630 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 782/85, 789/17, 918/630

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 782/85, 789/17, 918/630?

Answer: LCM of Numerators as per given numbers 782/85, 789/17, 918/630 is

LCM of Numerators i.e. for 782,789,918 is 5552982

GCF of denominators i.e. for 85,17,630 is 1.

Thus, LCM of Fractions is 5552982.Finally, LCM of Fractions for 782/85, 789/17, 918/630 is 5552982.