Least Common Multiple of 51/266, 45/817, 746/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/266, 45/817, 746/520 quickly i.e. 570690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/266, 45/817, 746/520 is 570690.

LCM(51/266, 45/817, 746/520) = 570690

LCM of 51/266, 45/817, 746/520

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 51/266,45/817,746/520

Given numbers are 51/266,45/817,746/520

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 51,45,746

Least Common Multiple of Numerators i.e. LCM of 51,45,746 is 570690.

GCF of Denominators means GCF of 266,817,520 as per the given fractions.

GCF of 266,817,520 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,45,746

LCM of Fractions 51/266,45/817,746/520 is 570690

3 51, 45, 746
17, 15, 746

∴ So the LCM of the given numbers is 3 x 17 x 15 x 746 = 570690

Least Common Multiple of 51,45,746 with GCF Formula

Least Common Multiple of 51,45,746 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 51,45,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,45,746) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,45,746) x common factors =1 x 3 = 3

LCM(51,45,746) = ( 51 × 45 × 746 ) / 3

LCM(51,45,746) = 1712070 / 3

LCM(51,45,746) = 570690


Lets's calculate GCF of 266,817,520

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 570690/1

Therefore the LCM of Fractions 51/266,45/817,746/520 is 570690

Greatest Common Factor of 266,817,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,817,520 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 266,817,520 . The biggest common factor number is the GCF number.
So the greatest common factor 266,817,520 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 51/266, 45/817, 746/520

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 51/266, 45/817, 746/520?

Answer: LCM of Numerators as per given numbers 51/266, 45/817, 746/520 is

LCM of Numerators i.e. for 51,45,746 is 570690

GCF of denominators i.e. for 266,817,520 is 1.

Thus, LCM of Fractions is 570690.Finally, LCM of Fractions for 51/266, 45/817, 746/520 is 570690.