Least Common Multiple of 3855/962, 1823/9282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3855/962, 1823/9282 quickly i.e. 7027665/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3855/962, 1823/9282 is 7027665/26.

LCM(3855/962, 1823/9282) = 7027665/26

LCM of 3855/962, 1823/9282

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 3855/962,1823/9282

Given numbers are 3855/962,1823/9282

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 3855,1823

Least Common Multiple of Numerators i.e. LCM of 3855,1823 is 7027665.

GCF of Denominators means GCF of 962,9282 as per the given fractions.

GCF of 962,9282 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3855,1823

LCM of Fractions 3855/962,1823/9282 is 7027665/26

Given numbers has no common factors except 1. So, there LCM is their product i.e 7027665

Least Common Multiple of 3855,1823 with GCF Formula

Least Common Multiple of 3855,1823 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 3855,1823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3855,1823) = 1

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

GCF(3855,1823) x common factors =1 x 1 = 1

LCM(3855,1823) = ( 3855 × 1823 ) / 1

LCM(3855,1823) = 7027665 / 1

LCM(3855,1823) = 7027665


Lets's calculate GCF of 962,9282

2 962, 9282
13 481, 4641
37, 357

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7027665/26

Therefore the LCM of Fractions 3855/962,1823/9282 is 7027665/26

Greatest Common Factor of 962,9282 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,9282 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 9282

List of positive integer factors of 9282 that divides 9282 without a remainder.

1,2,3,6,7,13,14,17,21,26,34,39,42,51,78,91,102,119,182,221,238,273,357,442,546,663,714,1326,1547,3094,4641,9282

Greatest Common Factor

We found the factors 962,9282 . The biggest common factor number is the GCF number.
So the greatest common factor 962,9282 is 26.


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 3855/962, 1823/9282

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 3855/962, 1823/9282?

Answer: LCM of Numerators as per given numbers 3855/962, 1823/9282 is

LCM of Numerators i.e. for 3855,1823 is 7027665

GCF of denominators i.e. for 962,9282 is 26.

Thus, LCM of Fractions is 7027665/26.Finally, LCM of Fractions for 3855/962, 1823/9282 is 7027665/26.