Least Common Multiple of 3652/104, 3730/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3652/104, 3730/624 quickly i.e. 6810980/104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3652/104, 3730/624 is 6810980/104.

LCM(3652/104, 3730/624) = 6810980/104

LCM of 3652/104, 3730/624

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 3652/104,3730/624

Given numbers are 3652/104,3730/624

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 3652,3730

Least Common Multiple of Numerators i.e. LCM of 3652,3730 is 6810980.

GCF of Denominators means GCF of 104,624 as per the given fractions.

GCF of 104,624 is 104 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3652,3730

LCM of Fractions 3652/104,3730/624 is 6810980/104

2 3652, 3730
1826, 1865

∴ So the LCM of the given numbers is 2 x 1826 x 1865 = 6810980

Least Common Multiple of 3652,3730 with GCF Formula

Least Common Multiple of 3652,3730 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 3652,3730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3652,3730) = 2

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

GCF(3652,3730) x common factors =2 x 1 = 2

LCM(3652,3730) = ( 3652 × 3730 ) / 2

LCM(3652,3730) = 13621960 / 2

LCM(3652,3730) = 6810980


Lets's calculate GCF of 104,624

2 104, 624
2 52, 312
2 26, 156
13 13, 78
1, 6

∴ So the GCF of the given numbers is 2 x 2 x 2 x 13 = 104

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6810980/104

Therefore the LCM of Fractions 3652/104,3730/624 is 6810980/104

Greatest Common Factor of 104,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,624 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 104,624 . The biggest common factor number is the GCF number.
So the greatest common factor 104,624 is 104.


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 3652/104, 3730/624

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 3652/104, 3730/624?

Answer: LCM of Numerators as per given numbers 3652/104, 3730/624 is

LCM of Numerators i.e. for 3652,3730 is 6810980

GCF of denominators i.e. for 104,624 is 104.

Thus, LCM of Fractions is 6810980/104.Finally, LCM of Fractions for 3652/104, 3730/624 is 6810980/104.