Least Common Multiple of 2312/610, 3834/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2312/610, 3834/671 quickly i.e. 4432104/61 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2312/610, 3834/671 is 4432104/61.

LCM(2312/610, 3834/671) = 4432104/61

LCM of 2312/610, 3834/671

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 2312/610,3834/671

Given numbers are 2312/610,3834/671

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 2312,3834

Least Common Multiple of Numerators i.e. LCM of 2312,3834 is 4432104.

GCF of Denominators means GCF of 610,671 as per the given fractions.

GCF of 610,671 is 61 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2312,3834

LCM of Fractions 2312/610,3834/671 is 4432104/61

2 2312, 3834
1156, 1917

∴ So the LCM of the given numbers is 2 x 1156 x 1917 = 4432104

Least Common Multiple of 2312,3834 with GCF Formula

Least Common Multiple of 2312,3834 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 2312,3834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2312,3834) = 2

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

GCF(2312,3834) x common factors =2 x 1 = 2

LCM(2312,3834) = ( 2312 × 3834 ) / 2

LCM(2312,3834) = 8864208 / 2

LCM(2312,3834) = 4432104


Lets's calculate GCF of 610,671

61 610, 671
10, 11

∴ So the GCF of the given numbers is 61 = 61

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4432104/61

Therefore the LCM of Fractions 2312/610,3834/671 is 4432104/61

Greatest Common Factor of 610,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,671 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 610,671 . The biggest common factor number is the GCF number.
So the greatest common factor 610,671 is 61.


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 2312/610, 3834/671

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 2312/610, 3834/671?

Answer: LCM of Numerators as per given numbers 2312/610, 3834/671 is

LCM of Numerators i.e. for 2312,3834 is 4432104

GCF of denominators i.e. for 610,671 is 61.

Thus, LCM of Fractions is 4432104/61.Finally, LCM of Fractions for 2312/610, 3834/671 is 4432104/61.