Least Common Multiple of 3700/441, 3699/7707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3700/441, 3699/7707 quickly i.e. 13686300/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3700/441, 3699/7707 is 13686300/21.

LCM(3700/441, 3699/7707) = 13686300/21

LCM of 3700/441, 3699/7707

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 3700/441,3699/7707

Given numbers are 3700/441,3699/7707

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 3700,3699

Least Common Multiple of Numerators i.e. LCM of 3700,3699 is 13686300.

GCF of Denominators means GCF of 441,7707 as per the given fractions.

GCF of 441,7707 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3700,3699

LCM of Fractions 3700/441,3699/7707 is 13686300/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 13686300

Least Common Multiple of 3700,3699 with GCF Formula

Least Common Multiple of 3700,3699 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 3700,3699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3700,3699) = 1

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

GCF(3700,3699) x common factors =1 x 1 = 1

LCM(3700,3699) = ( 3700 × 3699 ) / 1

LCM(3700,3699) = 13686300 / 1

LCM(3700,3699) = 13686300


Lets's calculate GCF of 441,7707

3 441, 7707
7 147, 2569
21, 367

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13686300/21

Therefore the LCM of Fractions 3700/441,3699/7707 is 13686300/21

Greatest Common Factor of 441,7707 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,7707 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 7707

List of positive integer factors of 7707 that divides 7707 without a remainder.

1,3,7,21,367,1101,2569,7707

Greatest Common Factor

We found the factors 441,7707 . The biggest common factor number is the GCF number.
So the greatest common factor 441,7707 is 21.


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 3700/441, 3699/7707

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 3700/441, 3699/7707?

Answer: LCM of Numerators as per given numbers 3700/441, 3699/7707 is

LCM of Numerators i.e. for 3700,3699 is 13686300

GCF of denominators i.e. for 441,7707 is 21.

Thus, LCM of Fractions is 13686300/21.Finally, LCM of Fractions for 3700/441, 3699/7707 is 13686300/21.