Least Common Multiple of 920/751, 973/819, 166/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 920/751, 973/819, 166/363 quickly i.e. 74298280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 920/751, 973/819, 166/363 is 74298280.

LCM(920/751, 973/819, 166/363) = 74298280

LCM of 920/751, 973/819, 166/363

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 920/751,973/819,166/363

Given numbers are 920/751,973/819,166/363

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 920,973,166

Least Common Multiple of Numerators i.e. LCM of 920,973,166 is 74298280.

GCF of Denominators means GCF of 751,819,363 as per the given fractions.

GCF of 751,819,363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 920,973,166

LCM of Fractions 920/751,973/819,166/363 is 74298280

2 920, 973, 166
460, 973, 83

∴ So the LCM of the given numbers is 2 x 460 x 973 x 83 = 74298280

Least Common Multiple of 920,973,166 with GCF Formula

Least Common Multiple of 920,973,166 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 920,973,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,973,166) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(920,973,166) x common factors =1 x 2 = 2

LCM(920,973,166) = ( 920 × 973 × 166 ) / 2

LCM(920,973,166) = 148596560 / 2

LCM(920,973,166) = 74298280


Lets's calculate GCF of 751,819,363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74298280/1

Therefore the LCM of Fractions 920/751,973/819,166/363 is 74298280

Greatest Common Factor of 751,819,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 751,819,363 By Matching Biggest Common Factor Method

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 751,819,363 . The biggest common factor number is the GCF number.
So the greatest common factor 751,819,363 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 920/751, 973/819, 166/363

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 920/751, 973/819, 166/363?

Answer: LCM of Numerators as per given numbers 920/751, 973/819, 166/363 is

LCM of Numerators i.e. for 920,973,166 is 74298280

GCF of denominators i.e. for 751,819,363 is 1.

Thus, LCM of Fractions is 74298280.Finally, LCM of Fractions for 920/751, 973/819, 166/363 is 74298280.