Least Common Multiple of 789/90, 314/13, 100/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/90, 314/13, 100/280 quickly i.e. 12387300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/90, 314/13, 100/280 is 12387300.

LCM(789/90, 314/13, 100/280) = 12387300

LCM of 789/90, 314/13, 100/280

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 789/90,314/13,100/280

Given numbers are 789/90,314/13,100/280

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 789,314,100

Least Common Multiple of Numerators i.e. LCM of 789,314,100 is 12387300.

GCF of Denominators means GCF of 90,13,280 as per the given fractions.

GCF of 90,13,280 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,314,100

LCM of Fractions 789/90,314/13,100/280 is 12387300

2 789, 314, 100
789, 157, 50

∴ So the LCM of the given numbers is 2 x 789 x 157 x 50 = 12387300

Least Common Multiple of 789,314,100 with GCF Formula

Least Common Multiple of 789,314,100 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 789,314,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,314,100) = 1

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

GCF(789,314,100) x common factors =1 x 2 = 2

LCM(789,314,100) = ( 789 × 314 × 100 ) / 2

LCM(789,314,100) = 24774600 / 2

LCM(789,314,100) = 12387300


Lets's calculate GCF of 90,13,280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12387300/1

Therefore the LCM of Fractions 789/90,314/13,100/280 is 12387300

Greatest Common Factor of 90,13,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,13,280 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 90,13,280 . The biggest common factor number is the GCF number.
So the greatest common factor 90,13,280 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 789/90, 314/13, 100/280

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 789/90, 314/13, 100/280?

Answer: LCM of Numerators as per given numbers 789/90, 314/13, 100/280 is

LCM of Numerators i.e. for 789,314,100 is 12387300

GCF of denominators i.e. for 90,13,280 is 1.

Thus, LCM of Fractions is 12387300.Finally, LCM of Fractions for 789/90, 314/13, 100/280 is 12387300.