Least Common Multiple of 8780/441, 6035/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8780/441, 6035/684 quickly i.e. 10597460/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8780/441, 6035/684 is 10597460/9.

LCM(8780/441, 6035/684) = 10597460/9

LCM of 8780/441, 6035/684

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 8780/441,6035/684

Given numbers are 8780/441,6035/684

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 8780,6035

Least Common Multiple of Numerators i.e. LCM of 8780,6035 is 10597460.

GCF of Denominators means GCF of 441,684 as per the given fractions.

GCF of 441,684 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8780,6035

LCM of Fractions 8780/441,6035/684 is 10597460/9

5 8780, 6035
1756, 1207

∴ So the LCM of the given numbers is 5 x 1756 x 1207 = 10597460

Least Common Multiple of 8780,6035 with GCF Formula

Least Common Multiple of 8780,6035 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 8780,6035 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8780,6035) = 5

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

GCF(8780,6035) x common factors =5 x 1 = 5

LCM(8780,6035) = ( 8780 × 6035 ) / 5

LCM(8780,6035) = 52987300 / 5

LCM(8780,6035) = 10597460


Lets's calculate GCF of 441,684

3 441, 684
3 147, 228
49, 76

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10597460/9

Therefore the LCM of Fractions 8780/441,6035/684 is 10597460/9

Greatest Common Factor of 441,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,684 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 441,684 . The biggest common factor number is the GCF number.
So the greatest common factor 441,684 is 9.


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 8780/441, 6035/684

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 8780/441, 6035/684?

Answer: LCM of Numerators as per given numbers 8780/441, 6035/684 is

LCM of Numerators i.e. for 8780,6035 is 10597460

GCF of denominators i.e. for 441,684 is 9.

Thus, LCM of Fractions is 10597460/9.Finally, LCM of Fractions for 8780/441, 6035/684 is 10597460/9.