Least Common Multiple of 2385/162, 3674/9709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2385/162, 3674/9709 quickly i.e. 8762490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2385/162, 3674/9709 is 8762490.

LCM(2385/162, 3674/9709) = 8762490

LCM of 2385/162, 3674/9709

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 2385/162,3674/9709

Given numbers are 2385/162,3674/9709

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 2385,3674

Least Common Multiple of Numerators i.e. LCM of 2385,3674 is 8762490.

GCF of Denominators means GCF of 162,9709 as per the given fractions.

GCF of 162,9709 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2385,3674

LCM of Fractions 2385/162,3674/9709 is 8762490

Given numbers has no common factors except 1. So, there LCM is their product i.e 8762490

Least Common Multiple of 2385,3674 with GCF Formula

Least Common Multiple of 2385,3674 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 2385,3674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2385,3674) = 1

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

GCF(2385,3674) x common factors =1 x 1 = 1

LCM(2385,3674) = ( 2385 × 3674 ) / 1

LCM(2385,3674) = 8762490 / 1

LCM(2385,3674) = 8762490


Lets's calculate GCF of 162,9709

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8762490/1

Therefore the LCM of Fractions 2385/162,3674/9709 is 8762490

Greatest Common Factor of 162,9709 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,9709 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 9709

List of positive integer factors of 9709 that divides 9709 without a remainder.

1,7,19,73,133,511,1387,9709

Greatest Common Factor

We found the factors 162,9709 . The biggest common factor number is the GCF number.
So the greatest common factor 162,9709 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 2385/162, 3674/9709

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 2385/162, 3674/9709?

Answer: LCM of Numerators as per given numbers 2385/162, 3674/9709 is

LCM of Numerators i.e. for 2385,3674 is 8762490

GCF of denominators i.e. for 162,9709 is 1.

Thus, LCM of Fractions is 8762490.Finally, LCM of Fractions for 2385/162, 3674/9709 is 8762490.