Least Common Multiple of 3677/785, 9971/1627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3677/785, 9971/1627 quickly i.e. 36663367 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3677/785, 9971/1627 is 36663367.

LCM(3677/785, 9971/1627) = 36663367

LCM of 3677/785, 9971/1627

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 3677/785,9971/1627

Given numbers are 3677/785,9971/1627

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 3677,9971

Least Common Multiple of Numerators i.e. LCM of 3677,9971 is 36663367.

GCF of Denominators means GCF of 785,1627 as per the given fractions.

GCF of 785,1627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3677,9971

LCM of Fractions 3677/785,9971/1627 is 36663367

Given numbers has no common factors except 1. So, there LCM is their product i.e 36663367

Least Common Multiple of 3677,9971 with GCF Formula

Least Common Multiple of 3677,9971 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 3677,9971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3677,9971) = 1

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

GCF(3677,9971) x common factors =1 x 1 = 1

LCM(3677,9971) = ( 3677 × 9971 ) / 1

LCM(3677,9971) = 36663367 / 1

LCM(3677,9971) = 36663367


Lets's calculate GCF of 785,1627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36663367/1

Therefore the LCM of Fractions 3677/785,9971/1627 is 36663367

Greatest Common Factor of 785,1627 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,1627 By Matching Biggest Common Factor Method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 1627

List of positive integer factors of 1627 that divides 1627 without a remainder.

1,1627

Greatest Common Factor

We found the factors 785,1627 . The biggest common factor number is the GCF number.
So the greatest common factor 785,1627 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 3677/785, 9971/1627

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 3677/785, 9971/1627?

Answer: LCM of Numerators as per given numbers 3677/785, 9971/1627 is

LCM of Numerators i.e. for 3677,9971 is 36663367

GCF of denominators i.e. for 785,1627 is 1.

Thus, LCM of Fractions is 36663367.Finally, LCM of Fractions for 3677/785, 9971/1627 is 36663367.