Least Common Multiple of 7164/425, 1715/7475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7164/425, 1715/7475 quickly i.e. 12286260/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7164/425, 1715/7475 is 12286260/25.

LCM(7164/425, 1715/7475) = 12286260/25

LCM of 7164/425, 1715/7475

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 7164/425,1715/7475

Given numbers are 7164/425,1715/7475

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 7164,1715

Least Common Multiple of Numerators i.e. LCM of 7164,1715 is 12286260.

GCF of Denominators means GCF of 425,7475 as per the given fractions.

GCF of 425,7475 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7164,1715

LCM of Fractions 7164/425,1715/7475 is 12286260/25

Given numbers has no common factors except 1. So, there LCM is their product i.e 12286260

Least Common Multiple of 7164,1715 with GCF Formula

Least Common Multiple of 7164,1715 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 7164,1715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7164,1715) = 1

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

GCF(7164,1715) x common factors =1 x 1 = 1

LCM(7164,1715) = ( 7164 × 1715 ) / 1

LCM(7164,1715) = 12286260 / 1

LCM(7164,1715) = 12286260


Lets's calculate GCF of 425,7475

5 425, 7475
5 85, 1495
17, 299

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12286260/25

Therefore the LCM of Fractions 7164/425,1715/7475 is 12286260/25

Greatest Common Factor of 425,7475 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,7475 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 7475

List of positive integer factors of 7475 that divides 7475 without a remainder.

1,5,13,23,25,65,115,299,325,575,1495,7475

Greatest Common Factor

We found the factors 425,7475 . The biggest common factor number is the GCF number.
So the greatest common factor 425,7475 is 25.


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 7164/425, 1715/7475

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 7164/425, 1715/7475?

Answer: LCM of Numerators as per given numbers 7164/425, 1715/7475 is

LCM of Numerators i.e. for 7164,1715 is 12286260

GCF of denominators i.e. for 425,7475 is 25.

Thus, LCM of Fractions is 12286260/25.Finally, LCM of Fractions for 7164/425, 1715/7475 is 12286260/25.