Least Common Multiple of 925/21, 992/66, 582/79

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 925/21, 992/66, 582/79 quickly i.e. 267021600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 925/21, 992/66, 582/79 is 267021600.

LCM(925/21, 992/66, 582/79) = 267021600

LCM of 925/21, 992/66, 582/79

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 925/21,992/66,582/79

Given numbers are 925/21,992/66,582/79

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 925,992,582

Least Common Multiple of Numerators i.e. LCM of 925,992,582 is 267021600.

GCF of Denominators means GCF of 21,66,79 as per the given fractions.

GCF of 21,66,79 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 925,992,582

LCM of Fractions 925/21,992/66,582/79 is 267021600

2 925, 992, 582
925, 496, 291

∴ So the LCM of the given numbers is 2 x 925 x 496 x 291 = 267021600

Least Common Multiple of 925,992,582 with GCF Formula

Least Common Multiple of 925,992,582 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 925,992,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,992,582) = 1

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

GCF(925,992,582) x common factors =1 x 2 = 2

LCM(925,992,582) = ( 925 × 992 × 582 ) / 2

LCM(925,992,582) = 534043200 / 2

LCM(925,992,582) = 267021600


Lets's calculate GCF of 21,66,79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267021600/1

Therefore the LCM of Fractions 925/21,992/66,582/79 is 267021600

Greatest Common Factor of 21,66,79 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,66,79 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Greatest Common Factor

We found the factors 21,66,79 . The biggest common factor number is the GCF number.
So the greatest common factor 21,66,79 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 925/21, 992/66, 582/79

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 925/21, 992/66, 582/79?

Answer: LCM of Numerators as per given numbers 925/21, 992/66, 582/79 is

LCM of Numerators i.e. for 925,992,582 is 267021600

GCF of denominators i.e. for 21,66,79 is 1.

Thus, LCM of Fractions is 267021600.Finally, LCM of Fractions for 925/21, 992/66, 582/79 is 267021600.