Least Common Multiple of 3860/720, 3834/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3860/720, 3834/736 quickly i.e. 7399620/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3860/720, 3834/736 is 7399620/16.

LCM(3860/720, 3834/736) = 7399620/16

LCM of 3860/720, 3834/736

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 3860/720,3834/736

Given numbers are 3860/720,3834/736

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 3860,3834

Least Common Multiple of Numerators i.e. LCM of 3860,3834 is 7399620.

GCF of Denominators means GCF of 720,736 as per the given fractions.

GCF of 720,736 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3860,3834

LCM of Fractions 3860/720,3834/736 is 7399620/16

2 3860, 3834
1930, 1917

∴ So the LCM of the given numbers is 2 x 1930 x 1917 = 7399620

Least Common Multiple of 3860,3834 with GCF Formula

Least Common Multiple of 3860,3834 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 3860,3834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3860,3834) = 2

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

GCF(3860,3834) x common factors =2 x 1 = 2

LCM(3860,3834) = ( 3860 × 3834 ) / 2

LCM(3860,3834) = 14799240 / 2

LCM(3860,3834) = 7399620


Lets's calculate GCF of 720,736

2 720, 736
2 360, 368
2 180, 184
2 90, 92
45, 46

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7399620/16

Therefore the LCM of Fractions 3860/720,3834/736 is 7399620/16

Greatest Common Factor of 720,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,736 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 720,736 . The biggest common factor number is the GCF number.
So the greatest common factor 720,736 is 16.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3860/720, 3834/736

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 3860/720, 3834/736?

Answer: LCM of Numerators as per given numbers 3860/720, 3834/736 is

LCM of Numerators i.e. for 3860,3834 is 7399620

GCF of denominators i.e. for 720,736 is 16.

Thus, LCM of Fractions is 7399620/16.Finally, LCM of Fractions for 3860/720, 3834/736 is 7399620/16.