Least Common Multiple of 21/46, 43/64, 506/92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 21/46, 43/64, 506/92 quickly i.e. 228459 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/46, 43/64, 506/92 is 228459.

LCM(21/46, 43/64, 506/92) = 228459

LCM of 21/46, 43/64, 506/92

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 21/46,43/64,506/92

Given numbers are 21/46,43/64,506/92

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 21,43,506

Least Common Multiple of Numerators i.e. LCM of 21,43,506 is 456918.

GCF of Denominators means GCF of 46,64,92 as per the given fractions.

GCF of 46,64,92 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,43,506

LCM of Fractions 21/46,43/64,506/92 is 228459

Given numbers has no common factors except 1. So, there LCM is their product i.e 456918

Least Common Multiple of 21,43,506 with GCF Formula

Least Common Multiple of 21,43,506 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 21,43,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,43,506) = 1

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

GCF(21,43,506) x common factors =1 x 1 = 1

LCM(21,43,506) = ( 21 × 43 × 506 ) / 1

LCM(21,43,506) = 456918 / 1

LCM(21,43,506) = 456918


Lets's calculate GCF of 46,64,92

2 46, 64, 92
23, 32, 46

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 456918/2

Therefore the LCM of Fractions 21/46,43/64,506/92 is 228459

Greatest Common Factor of 46,64,92 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,64,92 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Greatest Common Factor

We found the factors 46,64,92 . The biggest common factor number is the GCF number.
So the greatest common factor 46,64,92 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 21/46, 43/64, 506/92

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 21/46, 43/64, 506/92?

Answer: LCM of Numerators as per given numbers 21/46, 43/64, 506/92 is

LCM of Numerators i.e. for 21,43,506 is 456918

GCF of denominators i.e. for 46,64,92 is 2.

Thus, LCM of Fractions is 228459.Finally, LCM of Fractions for 21/46, 43/64, 506/92 is 228459.