Least Common Multiple of 85/380, 2892/9665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/380, 2892/9665 quickly i.e. 49164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/380, 2892/9665 is 49164.

LCM(85/380, 2892/9665) = 49164

LCM of 85/380, 2892/9665

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 85/380,2892/9665

Given numbers are 85/380,2892/9665

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 85,2892

Least Common Multiple of Numerators i.e. LCM of 85,2892 is 245820.

GCF of Denominators means GCF of 380,9665 as per the given fractions.

GCF of 380,9665 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,2892

LCM of Fractions 85/380,2892/9665 is 49164

Given numbers has no common factors except 1. So, there LCM is their product i.e 245820

Least Common Multiple of 85,2892 with GCF Formula

Least Common Multiple of 85,2892 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 85,2892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,2892) = 1

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

GCF(85,2892) x common factors =1 x 1 = 1

LCM(85,2892) = ( 85 × 2892 ) / 1

LCM(85,2892) = 245820 / 1

LCM(85,2892) = 245820


Lets's calculate GCF of 380,9665

5 380, 9665
76, 1933

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245820/5

Therefore the LCM of Fractions 85/380,2892/9665 is 49164

Greatest Common Factor of 380,9665 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,9665 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 9665

List of positive integer factors of 9665 that divides 9665 without a remainder.

1,5,1933,9665

Greatest Common Factor

We found the factors 380,9665 . The biggest common factor number is the GCF number.
So the greatest common factor 380,9665 is 5.


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 85/380, 2892/9665

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 85/380, 2892/9665?

Answer: LCM of Numerators as per given numbers 85/380, 2892/9665 is

LCM of Numerators i.e. for 85,2892 is 245820

GCF of denominators i.e. for 380,9665 is 5.

Thus, LCM of Fractions is 49164.Finally, LCM of Fractions for 85/380, 2892/9665 is 49164.