Least Common Multiple of 69/989, 975/456, 268/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/989, 975/456, 268/682 quickly i.e. 6009900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/989, 975/456, 268/682 is 6009900.

LCM(69/989, 975/456, 268/682) = 6009900

LCM of 69/989, 975/456, 268/682

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 69/989,975/456,268/682

Given numbers are 69/989,975/456,268/682

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 69,975,268

Least Common Multiple of Numerators i.e. LCM of 69,975,268 is 6009900.

GCF of Denominators means GCF of 989,456,682 as per the given fractions.

GCF of 989,456,682 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,975,268

LCM of Fractions 69/989,975/456,268/682 is 6009900

3 69, 975, 268
23, 325, 268

∴ So the LCM of the given numbers is 3 x 23 x 325 x 268 = 6009900

Least Common Multiple of 69,975,268 with GCF Formula

Least Common Multiple of 69,975,268 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 69,975,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,975,268) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,975,268) x common factors =1 x 3 = 3

LCM(69,975,268) = ( 69 × 975 × 268 ) / 3

LCM(69,975,268) = 18029700 / 3

LCM(69,975,268) = 6009900


Lets's calculate GCF of 989,456,682

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6009900/1

Therefore the LCM of Fractions 69/989,975/456,268/682 is 6009900

Greatest Common Factor of 989,456,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,456,682 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 989,456,682 . The biggest common factor number is the GCF number.
So the greatest common factor 989,456,682 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 69/989, 975/456, 268/682

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 69/989, 975/456, 268/682?

Answer: LCM of Numerators as per given numbers 69/989, 975/456, 268/682 is

LCM of Numerators i.e. for 69,975,268 is 6009900

GCF of denominators i.e. for 989,456,682 is 1.

Thus, LCM of Fractions is 6009900.Finally, LCM of Fractions for 69/989, 975/456, 268/682 is 6009900.