Least Common Multiple of 51/960, 187/973, 830/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/960, 187/973, 830/962 quickly i.e. 465630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/960, 187/973, 830/962 is 465630.

LCM(51/960, 187/973, 830/962) = 465630

LCM of 51/960, 187/973, 830/962

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 51/960,187/973,830/962

Given numbers are 51/960,187/973,830/962

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 51,187,830

Least Common Multiple of Numerators i.e. LCM of 51,187,830 is 465630.

GCF of Denominators means GCF of 960,973,962 as per the given fractions.

GCF of 960,973,962 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,187,830

LCM of Fractions 51/960,187/973,830/962 is 465630

17 51, 187, 830
3, 11, 830

∴ So the LCM of the given numbers is 17 x 3 x 11 x 830 = 465630

Least Common Multiple of 51,187,830 with GCF Formula

Least Common Multiple of 51,187,830 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 51,187,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,187,830) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(51,187,830) x common factors =1 x 17 = 17

LCM(51,187,830) = ( 51 × 187 × 830 ) / 17

LCM(51,187,830) = 7915710 / 17

LCM(51,187,830) = 465630


Lets's calculate GCF of 960,973,962

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 465630/1

Therefore the LCM of Fractions 51/960,187/973,830/962 is 465630

Greatest Common Factor of 960,973,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,973,962 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 960,973,962 . The biggest common factor number is the GCF number.
So the greatest common factor 960,973,962 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 51/960, 187/973, 830/962

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 51/960, 187/973, 830/962?

Answer: LCM of Numerators as per given numbers 51/960, 187/973, 830/962 is

LCM of Numerators i.e. for 51,187,830 is 465630

GCF of denominators i.e. for 960,973,962 is 1.

Thus, LCM of Fractions is 465630.Finally, LCM of Fractions for 51/960, 187/973, 830/962 is 465630.