Least Common Multiple of 364/268, 276/335, 897/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 364/268, 276/335, 897/288 quickly i.e. 25116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/268, 276/335, 897/288 is 25116.

LCM(364/268, 276/335, 897/288) = 25116

LCM of 364/268, 276/335, 897/288

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 364/268,276/335,897/288

Given numbers are 364/268,276/335,897/288

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 364,276,897

Least Common Multiple of Numerators i.e. LCM of 364,276,897 is 25116.

GCF of Denominators means GCF of 268,335,288 as per the given fractions.

GCF of 268,335,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,276,897

LCM of Fractions 364/268,276/335,897/288 is 25116

2 364, 276, 897
2 182, 138, 897
3 91, 69, 897
13 91, 23, 299
23 7, 23, 23
7, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 23 x 7 x 1 x 1 = 25116

Least Common Multiple of 364,276,897 with GCF Formula

Least Common Multiple of 364,276,897 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 364,276,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,276,897) = 1

common factors(in case of two or more numbers have common factors) = 3588

GCF(364,276,897) x common factors =1 x 3588 = 3588

LCM(364,276,897) = ( 364 × 276 × 897 ) / 3588

LCM(364,276,897) = 90116208 / 3588

LCM(364,276,897) = 25116


Lets's calculate GCF of 268,335,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25116/1

Therefore the LCM of Fractions 364/268,276/335,897/288 is 25116

Greatest Common Factor of 268,335,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,335,288 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 268,335,288 . The biggest common factor number is the GCF number.
So the greatest common factor 268,335,288 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 364/268, 276/335, 897/288

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 364/268, 276/335, 897/288?

Answer: LCM of Numerators as per given numbers 364/268, 276/335, 897/288 is

LCM of Numerators i.e. for 364,276,897 is 25116

GCF of denominators i.e. for 268,335,288 is 1.

Thus, LCM of Fractions is 25116.Finally, LCM of Fractions for 364/268, 276/335, 897/288 is 25116.