Least Common Multiple of 4314/749, 4325/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4314/749, 4325/235 quickly i.e. 18658050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4314/749, 4325/235 is 18658050.

LCM(4314/749, 4325/235) = 18658050

LCM of 4314/749, 4325/235

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 4314/749,4325/235

Given numbers are 4314/749,4325/235

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 4314,4325

Least Common Multiple of Numerators i.e. LCM of 4314,4325 is 18658050.

GCF of Denominators means GCF of 749,235 as per the given fractions.

GCF of 749,235 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4314,4325

LCM of Fractions 4314/749,4325/235 is 18658050

Given numbers has no common factors except 1. So, there LCM is their product i.e 18658050

Least Common Multiple of 4314,4325 with GCF Formula

Least Common Multiple of 4314,4325 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 4314,4325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4314,4325) = 1

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

GCF(4314,4325) x common factors =1 x 1 = 1

LCM(4314,4325) = ( 4314 × 4325 ) / 1

LCM(4314,4325) = 18658050 / 1

LCM(4314,4325) = 18658050


Lets's calculate GCF of 749,235

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18658050/1

Therefore the LCM of Fractions 4314/749,4325/235 is 18658050

Greatest Common Factor of 749,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,235 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 749,235 . The biggest common factor number is the GCF number.
So the greatest common factor 749,235 is 1.


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 4314/749, 4325/235

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 4314/749, 4325/235?

Answer: LCM of Numerators as per given numbers 4314/749, 4325/235 is

LCM of Numerators i.e. for 4314,4325 is 18658050

GCF of denominators i.e. for 749,235 is 1.

Thus, LCM of Fractions is 18658050.Finally, LCM of Fractions for 4314/749, 4325/235 is 18658050.