Least Common Multiple of 6069/169, 4380/7715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6069/169, 4380/7715 quickly i.e. 8860740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6069/169, 4380/7715 is 8860740.

LCM(6069/169, 4380/7715) = 8860740

LCM of 6069/169, 4380/7715

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 6069/169,4380/7715

Given numbers are 6069/169,4380/7715

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 6069,4380

Least Common Multiple of Numerators i.e. LCM of 6069,4380 is 8860740.

GCF of Denominators means GCF of 169,7715 as per the given fractions.

GCF of 169,7715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6069,4380

LCM of Fractions 6069/169,4380/7715 is 8860740

3 6069, 4380
2023, 1460

∴ So the LCM of the given numbers is 3 x 2023 x 1460 = 8860740

Least Common Multiple of 6069,4380 with GCF Formula

Least Common Multiple of 6069,4380 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 6069,4380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6069,4380) = 3

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

GCF(6069,4380) x common factors =3 x 1 = 3

LCM(6069,4380) = ( 6069 × 4380 ) / 3

LCM(6069,4380) = 26582220 / 3

LCM(6069,4380) = 8860740


Lets's calculate GCF of 169,7715

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8860740/1

Therefore the LCM of Fractions 6069/169,4380/7715 is 8860740

Greatest Common Factor of 169,7715 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,7715 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 7715

List of positive integer factors of 7715 that divides 7715 without a remainder.

1,5,1543,7715

Greatest Common Factor

We found the factors 169,7715 . The biggest common factor number is the GCF number.
So the greatest common factor 169,7715 is 1.


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 6069/169, 4380/7715

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 6069/169, 4380/7715?

Answer: LCM of Numerators as per given numbers 6069/169, 4380/7715 is

LCM of Numerators i.e. for 6069,4380 is 8860740

GCF of denominators i.e. for 169,7715 is 1.

Thus, LCM of Fractions is 8860740.Finally, LCM of Fractions for 6069/169, 4380/7715 is 8860740.