Least Common Multiple of 37/746, 1828/3870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/746, 1828/3870 quickly i.e. 33818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/746, 1828/3870 is 33818.

LCM(37/746, 1828/3870) = 33818

LCM of 37/746, 1828/3870

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 37/746,1828/3870

Given numbers are 37/746,1828/3870

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 37,1828

Least Common Multiple of Numerators i.e. LCM of 37,1828 is 67636.

GCF of Denominators means GCF of 746,3870 as per the given fractions.

GCF of 746,3870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,1828

LCM of Fractions 37/746,1828/3870 is 33818

Given numbers has no common factors except 1. So, there LCM is their product i.e 67636

Least Common Multiple of 37,1828 with GCF Formula

Least Common Multiple of 37,1828 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 37,1828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,1828) = 1

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

GCF(37,1828) x common factors =1 x 1 = 1

LCM(37,1828) = ( 37 × 1828 ) / 1

LCM(37,1828) = 67636 / 1

LCM(37,1828) = 67636


Lets's calculate GCF of 746,3870

2 746, 3870
373, 1935

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67636/2

Therefore the LCM of Fractions 37/746,1828/3870 is 33818

Greatest Common Factor of 746,3870 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,3870 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 3870

List of positive integer factors of 3870 that divides 3870 without a remainder.

1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870

Greatest Common Factor

We found the factors 746,3870 . The biggest common factor number is the GCF number.
So the greatest common factor 746,3870 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 37/746, 1828/3870

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 37/746, 1828/3870?

Answer: LCM of Numerators as per given numbers 37/746, 1828/3870 is

LCM of Numerators i.e. for 37,1828 is 67636

GCF of denominators i.e. for 746,3870 is 2.

Thus, LCM of Fractions is 33818.Finally, LCM of Fractions for 37/746, 1828/3870 is 33818.