Least Common Multiple of 307/883, 711/528, 582/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/883, 711/528, 582/322 quickly i.e. 42345738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/883, 711/528, 582/322 is 42345738.

LCM(307/883, 711/528, 582/322) = 42345738

LCM of 307/883, 711/528, 582/322

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 307/883,711/528,582/322

Given numbers are 307/883,711/528,582/322

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 307,711,582

Least Common Multiple of Numerators i.e. LCM of 307,711,582 is 42345738.

GCF of Denominators means GCF of 883,528,322 as per the given fractions.

GCF of 883,528,322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,711,582

LCM of Fractions 307/883,711/528,582/322 is 42345738

3 307, 711, 582
307, 237, 194

∴ So the LCM of the given numbers is 3 x 307 x 237 x 194 = 42345738

Least Common Multiple of 307,711,582 with GCF Formula

Least Common Multiple of 307,711,582 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 307,711,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,711,582) = 1

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

GCF(307,711,582) x common factors =1 x 3 = 3

LCM(307,711,582) = ( 307 × 711 × 582 ) / 3

LCM(307,711,582) = 127037214 / 3

LCM(307,711,582) = 42345738


Lets's calculate GCF of 883,528,322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42345738/1

Therefore the LCM of Fractions 307/883,711/528,582/322 is 42345738

Greatest Common Factor of 883,528,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 883,528,322 By Matching Biggest Common Factor Method

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 883,528,322 . The biggest common factor number is the GCF number.
So the greatest common factor 883,528,322 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 307/883, 711/528, 582/322

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 307/883, 711/528, 582/322?

Answer: LCM of Numerators as per given numbers 307/883, 711/528, 582/322 is

LCM of Numerators i.e. for 307,711,582 is 42345738

GCF of denominators i.e. for 883,528,322 is 1.

Thus, LCM of Fractions is 42345738.Finally, LCM of Fractions for 307/883, 711/528, 582/322 is 42345738.