Least Common Multiple of 3700/90, 4086/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3700/90, 4086/688 quickly i.e. 3779550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3700/90, 4086/688 is 3779550.

LCM(3700/90, 4086/688) = 3779550

LCM of 3700/90, 4086/688

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 3700/90,4086/688

Given numbers are 3700/90,4086/688

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 3700,4086

Least Common Multiple of Numerators i.e. LCM of 3700,4086 is 7559100.

GCF of Denominators means GCF of 90,688 as per the given fractions.

GCF of 90,688 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3700,4086

LCM of Fractions 3700/90,4086/688 is 3779550

2 3700, 4086
1850, 2043

∴ So the LCM of the given numbers is 2 x 1850 x 2043 = 7559100

Least Common Multiple of 3700,4086 with GCF Formula

Least Common Multiple of 3700,4086 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 3700,4086 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3700,4086) = 2

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

GCF(3700,4086) x common factors =2 x 1 = 2

LCM(3700,4086) = ( 3700 × 4086 ) / 2

LCM(3700,4086) = 15118200 / 2

LCM(3700,4086) = 7559100


Lets's calculate GCF of 90,688

2 90, 688
45, 344

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7559100/2

Therefore the LCM of Fractions 3700/90,4086/688 is 3779550

Greatest Common Factor of 90,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,688 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 90,688 . The biggest common factor number is the GCF number.
So the greatest common factor 90,688 is 2.


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 3700/90, 4086/688

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 3700/90, 4086/688?

Answer: LCM of Numerators as per given numbers 3700/90, 4086/688 is

LCM of Numerators i.e. for 3700,4086 is 7559100

GCF of denominators i.e. for 90,688 is 2.

Thus, LCM of Fractions is 3779550.Finally, LCM of Fractions for 3700/90, 4086/688 is 3779550.