Least Common Multiple of 51/845, 149/673, 750/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/845, 149/673, 750/516 quickly i.e. 1899750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/845, 149/673, 750/516 is 1899750.

LCM(51/845, 149/673, 750/516) = 1899750

LCM of 51/845, 149/673, 750/516

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 51/845,149/673,750/516

Given numbers are 51/845,149/673,750/516

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 51,149,750

Least Common Multiple of Numerators i.e. LCM of 51,149,750 is 1899750.

GCF of Denominators means GCF of 845,673,516 as per the given fractions.

GCF of 845,673,516 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,149,750

LCM of Fractions 51/845,149/673,750/516 is 1899750

3 51, 149, 750
17, 149, 250

∴ So the LCM of the given numbers is 3 x 17 x 149 x 250 = 1899750

Least Common Multiple of 51,149,750 with GCF Formula

Least Common Multiple of 51,149,750 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 51,149,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,149,750) = 1

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

GCF(51,149,750) x common factors =1 x 3 = 3

LCM(51,149,750) = ( 51 × 149 × 750 ) / 3

LCM(51,149,750) = 5699250 / 3

LCM(51,149,750) = 1899750


Lets's calculate GCF of 845,673,516

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1899750/1

Therefore the LCM of Fractions 51/845,149/673,750/516 is 1899750

Greatest Common Factor of 845,673,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,673,516 By Matching Biggest Common Factor Method

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 845,673,516 . The biggest common factor number is the GCF number.
So the greatest common factor 845,673,516 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 51/845, 149/673, 750/516

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 51/845, 149/673, 750/516?

Answer: LCM of Numerators as per given numbers 51/845, 149/673, 750/516 is

LCM of Numerators i.e. for 51,149,750 is 1899750

GCF of denominators i.e. for 845,673,516 is 1.

Thus, LCM of Fractions is 1899750.Finally, LCM of Fractions for 51/845, 149/673, 750/516 is 1899750.