Least Common Multiple of 44/672, 676/486, 867/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/672, 676/486, 867/248 quickly i.e. 3223506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/672, 676/486, 867/248 is 3223506.

LCM(44/672, 676/486, 867/248) = 3223506

LCM of 44/672, 676/486, 867/248

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 44/672,676/486,867/248

Given numbers are 44/672,676/486,867/248

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 44,676,867

Least Common Multiple of Numerators i.e. LCM of 44,676,867 is 6447012.

GCF of Denominators means GCF of 672,486,248 as per the given fractions.

GCF of 672,486,248 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,676,867

LCM of Fractions 44/672,676/486,867/248 is 3223506

2 44, 676, 867
2 22, 338, 867
11, 169, 867

∴ So the LCM of the given numbers is 2 x 2 x 11 x 169 x 867 = 6447012

Least Common Multiple of 44,676,867 with GCF Formula

Least Common Multiple of 44,676,867 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 44,676,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,676,867) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(44,676,867) x common factors =1 x 4 = 4

LCM(44,676,867) = ( 44 × 676 × 867 ) / 4

LCM(44,676,867) = 25788048 / 4

LCM(44,676,867) = 6447012


Lets's calculate GCF of 672,486,248

2 672, 486, 248
336, 243, 124

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6447012/2

Therefore the LCM of Fractions 44/672,676/486,867/248 is 3223506

Greatest Common Factor of 672,486,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,486,248 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 672,486,248 . The biggest common factor number is the GCF number.
So the greatest common factor 672,486,248 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 44/672, 676/486, 867/248

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 44/672, 676/486, 867/248?

Answer: LCM of Numerators as per given numbers 44/672, 676/486, 867/248 is

LCM of Numerators i.e. for 44,676,867 is 6447012

GCF of denominators i.e. for 672,486,248 is 2.

Thus, LCM of Fractions is 3223506.Finally, LCM of Fractions for 44/672, 676/486, 867/248 is 3223506.