Least Common Multiple of 3896/346, 5623/6372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3896/346, 5623/6372 quickly i.e. 10953604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3896/346, 5623/6372 is 10953604.

LCM(3896/346, 5623/6372) = 10953604

LCM of 3896/346, 5623/6372

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 3896/346,5623/6372

Given numbers are 3896/346,5623/6372

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 3896,5623

Least Common Multiple of Numerators i.e. LCM of 3896,5623 is 21907208.

GCF of Denominators means GCF of 346,6372 as per the given fractions.

GCF of 346,6372 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3896,5623

LCM of Fractions 3896/346,5623/6372 is 10953604

Given numbers has no common factors except 1. So, there LCM is their product i.e 21907208

Least Common Multiple of 3896,5623 with GCF Formula

Least Common Multiple of 3896,5623 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 3896,5623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3896,5623) = 1

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

GCF(3896,5623) x common factors =1 x 1 = 1

LCM(3896,5623) = ( 3896 × 5623 ) / 1

LCM(3896,5623) = 21907208 / 1

LCM(3896,5623) = 21907208


Lets's calculate GCF of 346,6372

2 346, 6372
173, 3186

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21907208/2

Therefore the LCM of Fractions 3896/346,5623/6372 is 10953604

Greatest Common Factor of 346,6372 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,6372 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 6372

List of positive integer factors of 6372 that divides 6372 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,59,108,118,177,236,354,531,708,1062,1593,2124,3186,6372

Greatest Common Factor

We found the factors 346,6372 . The biggest common factor number is the GCF number.
So the greatest common factor 346,6372 is 2.


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 3896/346, 5623/6372

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 3896/346, 5623/6372?

Answer: LCM of Numerators as per given numbers 3896/346, 5623/6372 is

LCM of Numerators i.e. for 3896,5623 is 21907208

GCF of denominators i.e. for 346,6372 is 2.

Thus, LCM of Fractions is 10953604.Finally, LCM of Fractions for 3896/346, 5623/6372 is 10953604.