Least Common Multiple of 2704/84, 5220/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2704/84, 5220/681 quickly i.e. 1176240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2704/84, 5220/681 is 1176240.

LCM(2704/84, 5220/681) = 1176240

LCM of 2704/84, 5220/681

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 2704/84,5220/681

Given numbers are 2704/84,5220/681

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 2704,5220

Least Common Multiple of Numerators i.e. LCM of 2704,5220 is 3528720.

GCF of Denominators means GCF of 84,681 as per the given fractions.

GCF of 84,681 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2704,5220

LCM of Fractions 2704/84,5220/681 is 1176240

2 2704, 5220
2 1352, 2610
676, 1305

∴ So the LCM of the given numbers is 2 x 2 x 676 x 1305 = 3528720

Least Common Multiple of 2704,5220 with GCF Formula

Least Common Multiple of 2704,5220 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 2704,5220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2704,5220) = 4

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

GCF(2704,5220) x common factors =4 x 1 = 4

LCM(2704,5220) = ( 2704 × 5220 ) / 4

LCM(2704,5220) = 14114880 / 4

LCM(2704,5220) = 3528720


Lets's calculate GCF of 84,681

3 84, 681
28, 227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3528720/3

Therefore the LCM of Fractions 2704/84,5220/681 is 1176240

Greatest Common Factor of 84,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,681 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors 84,681 . The biggest common factor number is the GCF number.
So the greatest common factor 84,681 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 2704/84, 5220/681

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 2704/84, 5220/681?

Answer: LCM of Numerators as per given numbers 2704/84, 5220/681 is

LCM of Numerators i.e. for 2704,5220 is 3528720

GCF of denominators i.e. for 84,681 is 3.

Thus, LCM of Fractions is 1176240.Finally, LCM of Fractions for 2704/84, 5220/681 is 1176240.