Least Common Multiple of 51/15, 53/926, 263/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 51/15, 53/926, 263/466 quickly i.e. 710889 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/15, 53/926, 263/466 is 710889.

LCM(51/15, 53/926, 263/466) = 710889

LCM of 51/15, 53/926, 263/466

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 51/15,53/926,263/466

Given numbers are 51/15,53/926,263/466

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 51,53,263

Least Common Multiple of Numerators i.e. LCM of 51,53,263 is 710889.

GCF of Denominators means GCF of 15,926,466 as per the given fractions.

GCF of 15,926,466 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,53,263

LCM of Fractions 51/15,53/926,263/466 is 710889

Given numbers has no common factors except 1. So, there LCM is their product i.e 710889

Least Common Multiple of 51,53,263 with GCF Formula

Least Common Multiple of 51,53,263 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 51,53,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,53,263) = 1

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

GCF(51,53,263) x common factors =1 x 1 = 1

LCM(51,53,263) = ( 51 × 53 × 263 ) / 1

LCM(51,53,263) = 710889 / 1

LCM(51,53,263) = 710889


Lets's calculate GCF of 15,926,466

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 710889/1

Therefore the LCM of Fractions 51/15,53/926,263/466 is 710889

Greatest Common Factor of 15,926,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,926,466 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 15,926,466 . The biggest common factor number is the GCF number.
So the greatest common factor 15,926,466 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 51/15, 53/926, 263/466

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 51/15, 53/926, 263/466?

Answer: LCM of Numerators as per given numbers 51/15, 53/926, 263/466 is

LCM of Numerators i.e. for 51,53,263 is 710889

GCF of denominators i.e. for 15,926,466 is 1.

Thus, LCM of Fractions is 710889.Finally, LCM of Fractions for 51/15, 53/926, 263/466 is 710889.