Least Common Multiple of 96/361, 53/907, 169/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/361, 53/907, 169/838 quickly i.e. 859872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/361, 53/907, 169/838 is 859872.

LCM(96/361, 53/907, 169/838) = 859872

LCM of 96/361, 53/907, 169/838

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 96/361,53/907,169/838

Given numbers are 96/361,53/907,169/838

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 96,53,169

Least Common Multiple of Numerators i.e. LCM of 96,53,169 is 859872.

GCF of Denominators means GCF of 361,907,838 as per the given fractions.

GCF of 361,907,838 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,53,169

LCM of Fractions 96/361,53/907,169/838 is 859872

Given numbers has no common factors except 1. So, there LCM is their product i.e 859872

Least Common Multiple of 96,53,169 with GCF Formula

Least Common Multiple of 96,53,169 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 96,53,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,53,169) = 1

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

GCF(96,53,169) x common factors =1 x 1 = 1

LCM(96,53,169) = ( 96 × 53 × 169 ) / 1

LCM(96,53,169) = 859872 / 1

LCM(96,53,169) = 859872


Lets's calculate GCF of 361,907,838

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 859872/1

Therefore the LCM of Fractions 96/361,53/907,169/838 is 859872

Greatest Common Factor of 361,907,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,907,838 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 361,907,838 . The biggest common factor number is the GCF number.
So the greatest common factor 361,907,838 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 96/361, 53/907, 169/838

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 96/361, 53/907, 169/838?

Answer: LCM of Numerators as per given numbers 96/361, 53/907, 169/838 is

LCM of Numerators i.e. for 96,53,169 is 859872

GCF of denominators i.e. for 361,907,838 is 1.

Thus, LCM of Fractions is 859872.Finally, LCM of Fractions for 96/361, 53/907, 169/838 is 859872.