Least Common Multiple of 604/374, 7825/4165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 604/374, 7825/4165 quickly i.e. 4726300/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 604/374, 7825/4165 is 4726300/17.

LCM(604/374, 7825/4165) = 4726300/17

LCM of 604/374, 7825/4165

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 604/374,7825/4165

Given numbers are 604/374,7825/4165

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 604,7825

Least Common Multiple of Numerators i.e. LCM of 604,7825 is 4726300.

GCF of Denominators means GCF of 374,4165 as per the given fractions.

GCF of 374,4165 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 604,7825

LCM of Fractions 604/374,7825/4165 is 4726300/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 4726300

Least Common Multiple of 604,7825 with GCF Formula

Least Common Multiple of 604,7825 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 604,7825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,7825) = 1

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

GCF(604,7825) x common factors =1 x 1 = 1

LCM(604,7825) = ( 604 × 7825 ) / 1

LCM(604,7825) = 4726300 / 1

LCM(604,7825) = 4726300


Lets's calculate GCF of 374,4165

17 374, 4165
22, 245

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4726300/17

Therefore the LCM of Fractions 604/374,7825/4165 is 4726300/17

Greatest Common Factor of 374,4165 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,4165 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 4165

List of positive integer factors of 4165 that divides 4165 without a remainder.

1,5,7,17,35,49,85,119,245,595,833,4165

Greatest Common Factor

We found the factors 374,4165 . The biggest common factor number is the GCF number.
So the greatest common factor 374,4165 is 17.


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 604/374, 7825/4165

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 604/374, 7825/4165?

Answer: LCM of Numerators as per given numbers 604/374, 7825/4165 is

LCM of Numerators i.e. for 604,7825 is 4726300

GCF of denominators i.e. for 374,4165 is 17.

Thus, LCM of Fractions is 4726300/17.Finally, LCM of Fractions for 604/374, 7825/4165 is 4726300/17.