Least Common Multiple of 7564/610, 4025/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7564/610, 4025/174 quickly i.e. 15222550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7564/610, 4025/174 is 15222550.

LCM(7564/610, 4025/174) = 15222550

LCM of 7564/610, 4025/174

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 7564/610,4025/174

Given numbers are 7564/610,4025/174

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 7564,4025

Least Common Multiple of Numerators i.e. LCM of 7564,4025 is 30445100.

GCF of Denominators means GCF of 610,174 as per the given fractions.

GCF of 610,174 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7564,4025

LCM of Fractions 7564/610,4025/174 is 15222550

Given numbers has no common factors except 1. So, there LCM is their product i.e 30445100

Least Common Multiple of 7564,4025 with GCF Formula

Least Common Multiple of 7564,4025 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 7564,4025 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7564,4025) = 1

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

GCF(7564,4025) x common factors =1 x 1 = 1

LCM(7564,4025) = ( 7564 × 4025 ) / 1

LCM(7564,4025) = 30445100 / 1

LCM(7564,4025) = 30445100


Lets's calculate GCF of 610,174

2 610, 174
305, 87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30445100/2

Therefore the LCM of Fractions 7564/610,4025/174 is 15222550

Greatest Common Factor of 610,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,174 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 610,174 . The biggest common factor number is the GCF number.
So the greatest common factor 610,174 is 2.


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 7564/610, 4025/174

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 7564/610, 4025/174?

Answer: LCM of Numerators as per given numbers 7564/610, 4025/174 is

LCM of Numerators i.e. for 7564,4025 is 30445100

GCF of denominators i.e. for 610,174 is 2.

Thus, LCM of Fractions is 15222550.Finally, LCM of Fractions for 7564/610, 4025/174 is 15222550.