Least Common Multiple of 47/467, 836/326, 684/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/467, 836/326, 684/137 quickly i.e. 353628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/467, 836/326, 684/137 is 353628.

LCM(47/467, 836/326, 684/137) = 353628

LCM of 47/467, 836/326, 684/137

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 47/467,836/326,684/137

Given numbers are 47/467,836/326,684/137

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 47,836,684

Least Common Multiple of Numerators i.e. LCM of 47,836,684 is 353628.

GCF of Denominators means GCF of 467,326,137 as per the given fractions.

GCF of 467,326,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,836,684

LCM of Fractions 47/467,836/326,684/137 is 353628

2 47, 836, 684
2 47, 418, 342
19 47, 209, 171
47, 11, 9

∴ So the LCM of the given numbers is 2 x 2 x 19 x 47 x 11 x 9 = 353628

Least Common Multiple of 47,836,684 with GCF Formula

Least Common Multiple of 47,836,684 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 47,836,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,836,684) = 1

common factors(in case of two or more numbers have common factors) = 76

GCF(47,836,684) x common factors =1 x 76 = 76

LCM(47,836,684) = ( 47 × 836 × 684 ) / 76

LCM(47,836,684) = 26875728 / 76

LCM(47,836,684) = 353628


Lets's calculate GCF of 467,326,137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 353628/1

Therefore the LCM of Fractions 47/467,836/326,684/137 is 353628

Greatest Common Factor of 467,326,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,326,137 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 467,326,137 . The biggest common factor number is the GCF number.
So the greatest common factor 467,326,137 is 1.


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Frequently Asked Questions on Fractional LCM of 47/467, 836/326, 684/137

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 47/467, 836/326, 684/137?

Answer: LCM of Numerators as per given numbers 47/467, 836/326, 684/137 is

LCM of Numerators i.e. for 47,836,684 is 353628

GCF of denominators i.e. for 467,326,137 is 1.

Thus, LCM of Fractions is 353628.Finally, LCM of Fractions for 47/467, 836/326, 684/137 is 353628.