Least Common Multiple of 1230/780, 7620/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1230/780, 7620/740 quickly i.e. 15621 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1230/780, 7620/740 is 15621.

LCM(1230/780, 7620/740) = 15621

LCM of 1230/780, 7620/740

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 1230/780,7620/740

Given numbers are 1230/780,7620/740

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 1230,7620

Least Common Multiple of Numerators i.e. LCM of 1230,7620 is 312420.

GCF of Denominators means GCF of 780,740 as per the given fractions.

GCF of 780,740 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1230,7620

LCM of Fractions 1230/780,7620/740 is 15621

2 1230, 7620
3 615, 3810
5 205, 1270
41, 254

∴ So the LCM of the given numbers is 2 x 3 x 5 x 41 x 254 = 312420

Least Common Multiple of 1230,7620 with GCF Formula

Least Common Multiple of 1230,7620 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 1230,7620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1230,7620) = 30

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

GCF(1230,7620) x common factors =30 x 1 = 30

LCM(1230,7620) = ( 1230 × 7620 ) / 30

LCM(1230,7620) = 9372600 / 30

LCM(1230,7620) = 312420


Lets's calculate GCF of 780,740

2 780, 740
2 390, 370
5 195, 185
39, 37

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312420/20

Therefore the LCM of Fractions 1230/780,7620/740 is 15621

Greatest Common Factor of 780,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,740 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 780,740 . The biggest common factor number is the GCF number.
So the greatest common factor 780,740 is 20.


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 1230/780, 7620/740

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 1230/780, 7620/740?

Answer: LCM of Numerators as per given numbers 1230/780, 7620/740 is

LCM of Numerators i.e. for 1230,7620 is 312420

GCF of denominators i.e. for 780,740 is 20.

Thus, LCM of Fractions is 15621.Finally, LCM of Fractions for 1230/780, 7620/740 is 15621.