Least Common Multiple of 999/70, 209/91, 362/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 999/70, 209/91, 362/295 quickly i.e. 75582342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 999/70, 209/91, 362/295 is 75582342.

LCM(999/70, 209/91, 362/295) = 75582342

LCM of 999/70, 209/91, 362/295

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 999/70,209/91,362/295

Given numbers are 999/70,209/91,362/295

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 999,209,362

Least Common Multiple of Numerators i.e. LCM of 999,209,362 is 75582342.

GCF of Denominators means GCF of 70,91,295 as per the given fractions.

GCF of 70,91,295 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 999,209,362

LCM of Fractions 999/70,209/91,362/295 is 75582342

Given numbers has no common factors except 1. So, there LCM is their product i.e 75582342

Least Common Multiple of 999,209,362 with GCF Formula

Least Common Multiple of 999,209,362 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 999,209,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,209,362) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(999,209,362) x common factors =1 x 1 = 1

LCM(999,209,362) = ( 999 × 209 × 362 ) / 1

LCM(999,209,362) = 75582342 / 1

LCM(999,209,362) = 75582342


Lets's calculate GCF of 70,91,295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75582342/1

Therefore the LCM of Fractions 999/70,209/91,362/295 is 75582342

Greatest Common Factor of 70,91,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,91,295 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 70,91,295 . The biggest common factor number is the GCF number.
So the greatest common factor 70,91,295 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 999/70, 209/91, 362/295

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 999/70, 209/91, 362/295?

Answer: LCM of Numerators as per given numbers 999/70, 209/91, 362/295 is

LCM of Numerators i.e. for 999,209,362 is 75582342

GCF of denominators i.e. for 70,91,295 is 1.

Thus, LCM of Fractions is 75582342.Finally, LCM of Fractions for 999/70, 209/91, 362/295 is 75582342.