Least Common Multiple of 3713/753, 6410/5955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3713/753, 6410/5955 quickly i.e. 23800330/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3713/753, 6410/5955 is 23800330/3.

LCM(3713/753, 6410/5955) = 23800330/3

LCM of 3713/753, 6410/5955

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 3713/753,6410/5955

Given numbers are 3713/753,6410/5955

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 3713,6410

Least Common Multiple of Numerators i.e. LCM of 3713,6410 is 23800330.

GCF of Denominators means GCF of 753,5955 as per the given fractions.

GCF of 753,5955 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3713,6410

LCM of Fractions 3713/753,6410/5955 is 23800330/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 23800330

Least Common Multiple of 3713,6410 with GCF Formula

Least Common Multiple of 3713,6410 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 3713,6410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3713,6410) = 1

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

GCF(3713,6410) x common factors =1 x 1 = 1

LCM(3713,6410) = ( 3713 × 6410 ) / 1

LCM(3713,6410) = 23800330 / 1

LCM(3713,6410) = 23800330


Lets's calculate GCF of 753,5955

3 753, 5955
251, 1985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23800330/3

Therefore the LCM of Fractions 3713/753,6410/5955 is 23800330/3

Greatest Common Factor of 753,5955 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,5955 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 5955

List of positive integer factors of 5955 that divides 5955 without a remainder.

1,3,5,15,397,1191,1985,5955

Greatest Common Factor

We found the factors 753,5955 . The biggest common factor number is the GCF number.
So the greatest common factor 753,5955 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3713/753, 6410/5955

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 3713/753, 6410/5955?

Answer: LCM of Numerators as per given numbers 3713/753, 6410/5955 is

LCM of Numerators i.e. for 3713,6410 is 23800330

GCF of denominators i.e. for 753,5955 is 3.

Thus, LCM of Fractions is 23800330/3.Finally, LCM of Fractions for 3713/753, 6410/5955 is 23800330/3.