Least Common Multiple of 83/12, 812/22, 280/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/12, 812/22, 280/739 quickly i.e. 673960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/12, 812/22, 280/739 is 673960.

LCM(83/12, 812/22, 280/739) = 673960

LCM of 83/12, 812/22, 280/739

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 83/12,812/22,280/739

Given numbers are 83/12,812/22,280/739

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 83,812,280

Least Common Multiple of Numerators i.e. LCM of 83,812,280 is 673960.

GCF of Denominators means GCF of 12,22,739 as per the given fractions.

GCF of 12,22,739 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,812,280

LCM of Fractions 83/12,812/22,280/739 is 673960

2 83, 812, 280
2 83, 406, 140
7 83, 203, 70
83, 29, 10

∴ So the LCM of the given numbers is 2 x 2 x 7 x 83 x 29 x 10 = 673960

Least Common Multiple of 83,812,280 with GCF Formula

Least Common Multiple of 83,812,280 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 83,812,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,812,280) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(83,812,280) x common factors =1 x 28 = 28

LCM(83,812,280) = ( 83 × 812 × 280 ) / 28

LCM(83,812,280) = 18870880 / 28

LCM(83,812,280) = 673960


Lets's calculate GCF of 12,22,739

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 673960/1

Therefore the LCM of Fractions 83/12,812/22,280/739 is 673960

Greatest Common Factor of 12,22,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,22,739 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 12,22,739 . The biggest common factor number is the GCF number.
So the greatest common factor 12,22,739 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 83/12, 812/22, 280/739

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 83/12, 812/22, 280/739?

Answer: LCM of Numerators as per given numbers 83/12, 812/22, 280/739 is

LCM of Numerators i.e. for 83,812,280 is 673960

GCF of denominators i.e. for 12,22,739 is 1.

Thus, LCM of Fractions is 673960.Finally, LCM of Fractions for 83/12, 812/22, 280/739 is 673960.