Least Common Multiple of 8780/426, 4530/2079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8780/426, 4530/2079 quickly i.e. 1325780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8780/426, 4530/2079 is 1325780.

LCM(8780/426, 4530/2079) = 1325780

LCM of 8780/426, 4530/2079

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 8780/426,4530/2079

Given numbers are 8780/426,4530/2079

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 8780,4530

Least Common Multiple of Numerators i.e. LCM of 8780,4530 is 3977340.

GCF of Denominators means GCF of 426,2079 as per the given fractions.

GCF of 426,2079 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8780,4530

LCM of Fractions 8780/426,4530/2079 is 1325780

2 8780, 4530
5 4390, 2265
878, 453

∴ So the LCM of the given numbers is 2 x 5 x 878 x 453 = 3977340

Least Common Multiple of 8780,4530 with GCF Formula

Least Common Multiple of 8780,4530 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 8780,4530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8780,4530) = 10

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

GCF(8780,4530) x common factors =10 x 1 = 10

LCM(8780,4530) = ( 8780 × 4530 ) / 10

LCM(8780,4530) = 39773400 / 10

LCM(8780,4530) = 3977340


Lets's calculate GCF of 426,2079

3 426, 2079
142, 693

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3977340/3

Therefore the LCM of Fractions 8780/426,4530/2079 is 1325780

Greatest Common Factor of 426,2079 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,2079 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 2079

List of positive integer factors of 2079 that divides 2079 without a remainder.

1,3,7,9,11,21,27,33,63,77,99,189,231,297,693,2079

Greatest Common Factor

We found the factors 426,2079 . The biggest common factor number is the GCF number.
So the greatest common factor 426,2079 is 3.


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 8780/426, 4530/2079

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 8780/426, 4530/2079?

Answer: LCM of Numerators as per given numbers 8780/426, 4530/2079 is

LCM of Numerators i.e. for 8780,4530 is 3977340

GCF of denominators i.e. for 426,2079 is 3.

Thus, LCM of Fractions is 1325780.Finally, LCM of Fractions for 8780/426, 4530/2079 is 1325780.