Least Common Multiple of 582/97, 837/74, 964/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 582/97, 837/74, 964/272 quickly i.e. 78266196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 582/97, 837/74, 964/272 is 78266196.

LCM(582/97, 837/74, 964/272) = 78266196

LCM of 582/97, 837/74, 964/272

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 582/97,837/74,964/272

Given numbers are 582/97,837/74,964/272

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 582,837,964

Least Common Multiple of Numerators i.e. LCM of 582,837,964 is 78266196.

GCF of Denominators means GCF of 97,74,272 as per the given fractions.

GCF of 97,74,272 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 582,837,964

LCM of Fractions 582/97,837/74,964/272 is 78266196

2 582, 837, 964
3 291, 837, 482
97, 279, 482

∴ So the LCM of the given numbers is 2 x 3 x 97 x 279 x 482 = 78266196

Least Common Multiple of 582,837,964 with GCF Formula

Least Common Multiple of 582,837,964 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 582,837,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,837,964) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(582,837,964) x common factors =1 x 6 = 6

LCM(582,837,964) = ( 582 × 837 × 964 ) / 6

LCM(582,837,964) = 469597176 / 6

LCM(582,837,964) = 78266196


Lets's calculate GCF of 97,74,272

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78266196/1

Therefore the LCM of Fractions 582/97,837/74,964/272 is 78266196

Greatest Common Factor of 97,74,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,74,272 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 97,74,272 . The biggest common factor number is the GCF number.
So the greatest common factor 97,74,272 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 582/97, 837/74, 964/272

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 582/97, 837/74, 964/272?

Answer: LCM of Numerators as per given numbers 582/97, 837/74, 964/272 is

LCM of Numerators i.e. for 582,837,964 is 78266196

GCF of denominators i.e. for 97,74,272 is 1.

Thus, LCM of Fractions is 78266196.Finally, LCM of Fractions for 582/97, 837/74, 964/272 is 78266196.