Least Common Multiple of 79/267, 23/193, 784/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/267, 23/193, 784/264 quickly i.e. 1424528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/267, 23/193, 784/264 is 1424528.

LCM(79/267, 23/193, 784/264) = 1424528

LCM of 79/267, 23/193, 784/264

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 79/267,23/193,784/264

Given numbers are 79/267,23/193,784/264

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 79,23,784

Least Common Multiple of Numerators i.e. LCM of 79,23,784 is 1424528.

GCF of Denominators means GCF of 267,193,264 as per the given fractions.

GCF of 267,193,264 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,23,784

LCM of Fractions 79/267,23/193,784/264 is 1424528

Given numbers has no common factors except 1. So, there LCM is their product i.e 1424528

Least Common Multiple of 79,23,784 with GCF Formula

Least Common Multiple of 79,23,784 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 79,23,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,23,784) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(79,23,784) x common factors =1 x 1 = 1

LCM(79,23,784) = ( 79 × 23 × 784 ) / 1

LCM(79,23,784) = 1424528 / 1

LCM(79,23,784) = 1424528


Lets's calculate GCF of 267,193,264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1424528/1

Therefore the LCM of Fractions 79/267,23/193,784/264 is 1424528

Greatest Common Factor of 267,193,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,193,264 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

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

Greatest Common Factor

We found the factors 267,193,264 . The biggest common factor number is the GCF number.
So the greatest common factor 267,193,264 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 79/267, 23/193, 784/264

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 79/267, 23/193, 784/264?

Answer: LCM of Numerators as per given numbers 79/267, 23/193, 784/264 is

LCM of Numerators i.e. for 79,23,784 is 1424528

GCF of denominators i.e. for 267,193,264 is 1.

Thus, LCM of Fractions is 1424528.Finally, LCM of Fractions for 79/267, 23/193, 784/264 is 1424528.