Least Common Multiple of 849/651, 303/619, 268/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 849/651, 303/619, 268/280 quickly i.e. 22980732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/651, 303/619, 268/280 is 22980732.

LCM(849/651, 303/619, 268/280) = 22980732

LCM of 849/651, 303/619, 268/280

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 849/651,303/619,268/280

Given numbers are 849/651,303/619,268/280

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 849,303,268

Least Common Multiple of Numerators i.e. LCM of 849,303,268 is 22980732.

GCF of Denominators means GCF of 651,619,280 as per the given fractions.

GCF of 651,619,280 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,303,268

LCM of Fractions 849/651,303/619,268/280 is 22980732

3 849, 303, 268
283, 101, 268

∴ So the LCM of the given numbers is 3 x 283 x 101 x 268 = 22980732

Least Common Multiple of 849,303,268 with GCF Formula

Least Common Multiple of 849,303,268 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 849,303,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,303,268) = 1

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

GCF(849,303,268) x common factors =1 x 3 = 3

LCM(849,303,268) = ( 849 × 303 × 268 ) / 3

LCM(849,303,268) = 68942196 / 3

LCM(849,303,268) = 22980732


Lets's calculate GCF of 651,619,280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22980732/1

Therefore the LCM of Fractions 849/651,303/619,268/280 is 22980732

Greatest Common Factor of 651,619,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,619,280 By Matching Biggest Common Factor Method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 651,619,280 . The biggest common factor number is the GCF number.
So the greatest common factor 651,619,280 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 849/651, 303/619, 268/280

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 849/651, 303/619, 268/280?

Answer: LCM of Numerators as per given numbers 849/651, 303/619, 268/280 is

LCM of Numerators i.e. for 849,303,268 is 22980732

GCF of denominators i.e. for 651,619,280 is 1.

Thus, LCM of Fractions is 22980732.Finally, LCM of Fractions for 849/651, 303/619, 268/280 is 22980732.