Least Common Multiple of 7952/897, 1620/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7952/897, 1620/405 quickly i.e. 1073520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7952/897, 1620/405 is 1073520.

LCM(7952/897, 1620/405) = 1073520

LCM of 7952/897, 1620/405

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 7952/897,1620/405

Given numbers are 7952/897,1620/405

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 7952,1620

Least Common Multiple of Numerators i.e. LCM of 7952,1620 is 3220560.

GCF of Denominators means GCF of 897,405 as per the given fractions.

GCF of 897,405 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7952,1620

LCM of Fractions 7952/897,1620/405 is 1073520

2 7952, 1620
2 3976, 810
1988, 405

∴ So the LCM of the given numbers is 2 x 2 x 1988 x 405 = 3220560

Least Common Multiple of 7952,1620 with GCF Formula

Least Common Multiple of 7952,1620 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 7952,1620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7952,1620) = 4

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

GCF(7952,1620) x common factors =4 x 1 = 4

LCM(7952,1620) = ( 7952 × 1620 ) / 4

LCM(7952,1620) = 12882240 / 4

LCM(7952,1620) = 3220560


Lets's calculate GCF of 897,405

3 897, 405
299, 135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3220560/3

Therefore the LCM of Fractions 7952/897,1620/405 is 1073520

Greatest Common Factor of 897,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,405 By Matching Biggest Common Factor Method

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 897,405 . The biggest common factor number is the GCF number.
So the greatest common factor 897,405 is 3.


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 7952/897, 1620/405

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 7952/897, 1620/405?

Answer: LCM of Numerators as per given numbers 7952/897, 1620/405 is

LCM of Numerators i.e. for 7952,1620 is 3220560

GCF of denominators i.e. for 897,405 is 3.

Thus, LCM of Fractions is 1073520.Finally, LCM of Fractions for 7952/897, 1620/405 is 1073520.