Least Common Multiple of 999/73, 148/96, 948/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 999/73, 148/96, 948/740 quickly i.e. 315684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 999/73, 148/96, 948/740 is 315684.

LCM(999/73, 148/96, 948/740) = 315684

LCM of 999/73, 148/96, 948/740

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 999/73,148/96,948/740

Given numbers are 999/73,148/96,948/740

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 999,148,948

Least Common Multiple of Numerators i.e. LCM of 999,148,948 is 315684.

GCF of Denominators means GCF of 73,96,740 as per the given fractions.

GCF of 73,96,740 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 999,148,948

LCM of Fractions 999/73,148/96,948/740 is 315684

2 999, 148, 948
2 999, 74, 474
3 999, 37, 237
37 333, 37, 79
9, 1, 79

∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 9 x 1 x 79 = 315684

Least Common Multiple of 999,148,948 with GCF Formula

Least Common Multiple of 999,148,948 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 999,148,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,148,948) = 1

common factors(in case of two or more numbers have common factors) = 444

GCF(999,148,948) x common factors =1 x 444 = 444

LCM(999,148,948) = ( 999 × 148 × 948 ) / 444

LCM(999,148,948) = 140163696 / 444

LCM(999,148,948) = 315684


Lets's calculate GCF of 73,96,740

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315684/1

Therefore the LCM of Fractions 999/73,148/96,948/740 is 315684

Greatest Common Factor of 73,96,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,96,740 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 73,96,740 . The biggest common factor number is the GCF number.
So the greatest common factor 73,96,740 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 999/73, 148/96, 948/740

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 999/73, 148/96, 948/740?

Answer: LCM of Numerators as per given numbers 999/73, 148/96, 948/740 is

LCM of Numerators i.e. for 999,148,948 is 315684

GCF of denominators i.e. for 73,96,740 is 1.

Thus, LCM of Fractions is 315684.Finally, LCM of Fractions for 999/73, 148/96, 948/740 is 315684.