Least Common Multiple of 5353/784, 2280/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5353/784, 2280/780 quickly i.e. 3051210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5353/784, 2280/780 is 3051210.

LCM(5353/784, 2280/780) = 3051210

LCM of 5353/784, 2280/780

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 5353/784,2280/780

Given numbers are 5353/784,2280/780

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 5353,2280

Least Common Multiple of Numerators i.e. LCM of 5353,2280 is 12204840.

GCF of Denominators means GCF of 784,780 as per the given fractions.

GCF of 784,780 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5353,2280

LCM of Fractions 5353/784,2280/780 is 3051210

Given numbers has no common factors except 1. So, there LCM is their product i.e 12204840

Least Common Multiple of 5353,2280 with GCF Formula

Least Common Multiple of 5353,2280 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 5353,2280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5353,2280) = 1

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

GCF(5353,2280) x common factors =1 x 1 = 1

LCM(5353,2280) = ( 5353 × 2280 ) / 1

LCM(5353,2280) = 12204840 / 1

LCM(5353,2280) = 12204840


Lets's calculate GCF of 784,780

2 784, 780
2 392, 390
196, 195

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12204840/4

Therefore the LCM of Fractions 5353/784,2280/780 is 3051210

Greatest Common Factor of 784,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,780 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

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

Greatest Common Factor

We found the factors 784,780 . The biggest common factor number is the GCF number.
So the greatest common factor 784,780 is 4.


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 5353/784, 2280/780

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 5353/784, 2280/780?

Answer: LCM of Numerators as per given numbers 5353/784, 2280/780 is

LCM of Numerators i.e. for 5353,2280 is 12204840

GCF of denominators i.e. for 784,780 is 4.

Thus, LCM of Fractions is 3051210.Finally, LCM of Fractions for 5353/784, 2280/780 is 3051210.