Least Common Multiple of 78/800, 9540/2210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/800, 9540/2210 quickly i.e. 12402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/800, 9540/2210 is 12402.

LCM(78/800, 9540/2210) = 12402

LCM of 78/800, 9540/2210

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 78/800,9540/2210

Given numbers are 78/800,9540/2210

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 78,9540

Least Common Multiple of Numerators i.e. LCM of 78,9540 is 124020.

GCF of Denominators means GCF of 800,2210 as per the given fractions.

GCF of 800,2210 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,9540

LCM of Fractions 78/800,9540/2210 is 12402

2 78, 9540
3 39, 4770
13, 1590

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1590 = 124020

Least Common Multiple of 78,9540 with GCF Formula

Least Common Multiple of 78,9540 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 78,9540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,9540) = 6

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

GCF(78,9540) x common factors =6 x 1 = 6

LCM(78,9540) = ( 78 × 9540 ) / 6

LCM(78,9540) = 744120 / 6

LCM(78,9540) = 124020


Lets's calculate GCF of 800,2210

2 800, 2210
5 400, 1105
80, 221

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124020/10

Therefore the LCM of Fractions 78/800,9540/2210 is 12402

Greatest Common Factor of 800,2210 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,2210 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 2210

List of positive integer factors of 2210 that divides 2210 without a remainder.

1,2,5,10,13,17,26,34,65,85,130,170,221,442,1105,2210

Greatest Common Factor

We found the factors 800,2210 . The biggest common factor number is the GCF number.
So the greatest common factor 800,2210 is 10.


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 78/800, 9540/2210

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 78/800, 9540/2210?

Answer: LCM of Numerators as per given numbers 78/800, 9540/2210 is

LCM of Numerators i.e. for 78,9540 is 124020

GCF of denominators i.e. for 800,2210 is 10.

Thus, LCM of Fractions is 12402.Finally, LCM of Fractions for 78/800, 9540/2210 is 12402.