Least Common Multiple of 3420/80, 5294/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3420/80, 5294/525 quickly i.e. 1810548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3420/80, 5294/525 is 1810548.

LCM(3420/80, 5294/525) = 1810548

LCM of 3420/80, 5294/525

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 3420/80,5294/525

Given numbers are 3420/80,5294/525

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 3420,5294

Least Common Multiple of Numerators i.e. LCM of 3420,5294 is 9052740.

GCF of Denominators means GCF of 80,525 as per the given fractions.

GCF of 80,525 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3420,5294

LCM of Fractions 3420/80,5294/525 is 1810548

2 3420, 5294
1710, 2647

∴ So the LCM of the given numbers is 2 x 1710 x 2647 = 9052740

Least Common Multiple of 3420,5294 with GCF Formula

Least Common Multiple of 3420,5294 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 3420,5294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3420,5294) = 2

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

GCF(3420,5294) x common factors =2 x 1 = 2

LCM(3420,5294) = ( 3420 × 5294 ) / 2

LCM(3420,5294) = 18105480 / 2

LCM(3420,5294) = 9052740


Lets's calculate GCF of 80,525

5 80, 525
16, 105

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9052740/5

Therefore the LCM of Fractions 3420/80,5294/525 is 1810548

Greatest Common Factor of 80,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,525 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 80,525 . The biggest common factor number is the GCF number.
So the greatest common factor 80,525 is 5.


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 3420/80, 5294/525

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 3420/80, 5294/525?

Answer: LCM of Numerators as per given numbers 3420/80, 5294/525 is

LCM of Numerators i.e. for 3420,5294 is 9052740

GCF of denominators i.e. for 80,525 is 5.

Thus, LCM of Fractions is 1810548.Finally, LCM of Fractions for 3420/80, 5294/525 is 1810548.