Least Common Multiple of 780/15, 450/2510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/15, 450/2510 quickly i.e. 2340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/15, 450/2510 is 2340.

LCM(780/15, 450/2510) = 2340

LCM of 780/15, 450/2510

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 780/15,450/2510

Given numbers are 780/15,450/2510

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 780,450

Least Common Multiple of Numerators i.e. LCM of 780,450 is 11700.

GCF of Denominators means GCF of 15,2510 as per the given fractions.

GCF of 15,2510 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,450

LCM of Fractions 780/15,450/2510 is 2340

2 780, 450
3 390, 225
5 130, 75
26, 15

∴ So the LCM of the given numbers is 2 x 3 x 5 x 26 x 15 = 11700

Least Common Multiple of 780,450 with GCF Formula

Least Common Multiple of 780,450 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 780,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,450) = 30

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

GCF(780,450) x common factors =30 x 1 = 30

LCM(780,450) = ( 780 × 450 ) / 30

LCM(780,450) = 351000 / 30

LCM(780,450) = 11700


Lets's calculate GCF of 15,2510

5 15, 2510
3, 502

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11700/5

Therefore the LCM of Fractions 780/15,450/2510 is 2340

Greatest Common Factor of 15,2510 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,2510 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 2510

List of positive integer factors of 2510 that divides 2510 without a remainder.

1,2,5,10,251,502,1255,2510

Greatest Common Factor

We found the factors 15,2510 . The biggest common factor number is the GCF number.
So the greatest common factor 15,2510 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 780/15, 450/2510

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 780/15, 450/2510?

Answer: LCM of Numerators as per given numbers 780/15, 450/2510 is

LCM of Numerators i.e. for 780,450 is 11700

GCF of denominators i.e. for 15,2510 is 5.

Thus, LCM of Fractions is 2340.Finally, LCM of Fractions for 780/15, 450/2510 is 2340.