Least Common Multiple of 7477/38, 3706/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7477/38, 3706/570 quickly i.e. 27709762/38 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7477/38, 3706/570 is 27709762/38.

LCM(7477/38, 3706/570) = 27709762/38

LCM of 7477/38, 3706/570

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 7477/38,3706/570

Given numbers are 7477/38,3706/570

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 7477,3706

Least Common Multiple of Numerators i.e. LCM of 7477,3706 is 27709762.

GCF of Denominators means GCF of 38,570 as per the given fractions.

GCF of 38,570 is 38 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7477,3706

LCM of Fractions 7477/38,3706/570 is 27709762/38

Given numbers has no common factors except 1. So, there LCM is their product i.e 27709762

Least Common Multiple of 7477,3706 with GCF Formula

Least Common Multiple of 7477,3706 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 7477,3706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7477,3706) = 1

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

GCF(7477,3706) x common factors =1 x 1 = 1

LCM(7477,3706) = ( 7477 × 3706 ) / 1

LCM(7477,3706) = 27709762 / 1

LCM(7477,3706) = 27709762


Lets's calculate GCF of 38,570

2 38, 570
19 19, 285
1, 15

∴ So the GCF of the given numbers is 2 x 19 = 38

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27709762/38

Therefore the LCM of Fractions 7477/38,3706/570 is 27709762/38

Greatest Common Factor of 38,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,570 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 38,570 . The biggest common factor number is the GCF number.
So the greatest common factor 38,570 is 38.


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 7477/38, 3706/570

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 7477/38, 3706/570?

Answer: LCM of Numerators as per given numbers 7477/38, 3706/570 is

LCM of Numerators i.e. for 7477,3706 is 27709762

GCF of denominators i.e. for 38,570 is 38.

Thus, LCM of Fractions is 27709762/38.Finally, LCM of Fractions for 7477/38, 3706/570 is 27709762/38.