Least Common Multiple of 82/314, 817/24, 294/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/314, 817/24, 294/967 quickly i.e. 9848118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/314, 817/24, 294/967 is 9848118.

LCM(82/314, 817/24, 294/967) = 9848118

LCM of 82/314, 817/24, 294/967

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 82/314,817/24,294/967

Given numbers are 82/314,817/24,294/967

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 82,817,294

Least Common Multiple of Numerators i.e. LCM of 82,817,294 is 9848118.

GCF of Denominators means GCF of 314,24,967 as per the given fractions.

GCF of 314,24,967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,817,294

LCM of Fractions 82/314,817/24,294/967 is 9848118

2 82, 817, 294
41, 817, 147

∴ So the LCM of the given numbers is 2 x 41 x 817 x 147 = 9848118

Least Common Multiple of 82,817,294 with GCF Formula

Least Common Multiple of 82,817,294 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 82,817,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,817,294) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,817,294) x common factors =1 x 2 = 2

LCM(82,817,294) = ( 82 × 817 × 294 ) / 2

LCM(82,817,294) = 19696236 / 2

LCM(82,817,294) = 9848118


Lets's calculate GCF of 314,24,967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9848118/1

Therefore the LCM of Fractions 82/314,817/24,294/967 is 9848118

Greatest Common Factor of 314,24,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,24,967 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 314,24,967 . The biggest common factor number is the GCF number.
So the greatest common factor 314,24,967 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 82/314, 817/24, 294/967

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 82/314, 817/24, 294/967?

Answer: LCM of Numerators as per given numbers 82/314, 817/24, 294/967 is

LCM of Numerators i.e. for 82,817,294 is 9848118

GCF of denominators i.e. for 314,24,967 is 1.

Thus, LCM of Fractions is 9848118.Finally, LCM of Fractions for 82/314, 817/24, 294/967 is 9848118.