Least Common Multiple of 6825/15, 5270/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6825/15, 5270/620 quickly i.e. 1438710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6825/15, 5270/620 is 1438710.

LCM(6825/15, 5270/620) = 1438710

LCM of 6825/15, 5270/620

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 6825/15,5270/620

Given numbers are 6825/15,5270/620

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 6825,5270

Least Common Multiple of Numerators i.e. LCM of 6825,5270 is 7193550.

GCF of Denominators means GCF of 15,620 as per the given fractions.

GCF of 15,620 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6825,5270

LCM of Fractions 6825/15,5270/620 is 1438710

5 6825, 5270
1365, 1054

∴ So the LCM of the given numbers is 5 x 1365 x 1054 = 7193550

Least Common Multiple of 6825,5270 with GCF Formula

Least Common Multiple of 6825,5270 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 6825,5270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6825,5270) = 5

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

GCF(6825,5270) x common factors =5 x 1 = 5

LCM(6825,5270) = ( 6825 × 5270 ) / 5

LCM(6825,5270) = 35967750 / 5

LCM(6825,5270) = 7193550


Lets's calculate GCF of 15,620

5 15, 620
3, 124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7193550/5

Therefore the LCM of Fractions 6825/15,5270/620 is 1438710

Greatest Common Factor of 15,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,620 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 15,620 . The biggest common factor number is the GCF number.
So the greatest common factor 15,620 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 6825/15, 5270/620

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 6825/15, 5270/620?

Answer: LCM of Numerators as per given numbers 6825/15, 5270/620 is

LCM of Numerators i.e. for 6825,5270 is 7193550

GCF of denominators i.e. for 15,620 is 5.

Thus, LCM of Fractions is 1438710.Finally, LCM of Fractions for 6825/15, 5270/620 is 1438710.