Least Common Multiple of 612/72, 425/4185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 612/72, 425/4185 quickly i.e. 1700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 612/72, 425/4185 is 1700.

LCM(612/72, 425/4185) = 1700

LCM of 612/72, 425/4185

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 612/72,425/4185

Given numbers are 612/72,425/4185

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 612,425

Least Common Multiple of Numerators i.e. LCM of 612,425 is 15300.

GCF of Denominators means GCF of 72,4185 as per the given fractions.

GCF of 72,4185 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 612,425

LCM of Fractions 612/72,425/4185 is 1700

17 612, 425
36, 25

∴ So the LCM of the given numbers is 17 x 36 x 25 = 15300

Least Common Multiple of 612,425 with GCF Formula

Least Common Multiple of 612,425 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 612,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,425) = 17

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

GCF(612,425) x common factors =17 x 1 = 17

LCM(612,425) = ( 612 × 425 ) / 17

LCM(612,425) = 260100 / 17

LCM(612,425) = 15300


Lets's calculate GCF of 72,4185

3 72, 4185
3 24, 1395
8, 465

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15300/9

Therefore the LCM of Fractions 612/72,425/4185 is 1700

Greatest Common Factor of 72,4185 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,4185 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 4185

List of positive integer factors of 4185 that divides 4185 without a remainder.

1,3,5,9,15,27,31,45,93,135,155,279,465,837,1395,4185

Greatest Common Factor

We found the factors 72,4185 . The biggest common factor number is the GCF number.
So the greatest common factor 72,4185 is 9.


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 612/72, 425/4185

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 612/72, 425/4185?

Answer: LCM of Numerators as per given numbers 612/72, 425/4185 is

LCM of Numerators i.e. for 612,425 is 15300

GCF of denominators i.e. for 72,4185 is 9.

Thus, LCM of Fractions is 1700.Finally, LCM of Fractions for 612/72, 425/4185 is 1700.