Least Common Multiple of 37/415, 666/366, 279/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/415, 666/366, 279/998 quickly i.e. 20646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/415, 666/366, 279/998 is 20646.

LCM(37/415, 666/366, 279/998) = 20646

LCM of 37/415, 666/366, 279/998

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 37/415,666/366,279/998

Given numbers are 37/415,666/366,279/998

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 37,666,279

Least Common Multiple of Numerators i.e. LCM of 37,666,279 is 20646.

GCF of Denominators means GCF of 415,366,998 as per the given fractions.

GCF of 415,366,998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,666,279

LCM of Fractions 37/415,666/366,279/998 is 20646

3 37, 666, 279
3 37, 222, 93
37 37, 74, 31
1, 2, 31

∴ So the LCM of the given numbers is 3 x 3 x 37 x 1 x 2 x 31 = 20646

Least Common Multiple of 37,666,279 with GCF Formula

Least Common Multiple of 37,666,279 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 37,666,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,666,279) = 1

common factors(in case of two or more numbers have common factors) = 333

GCF(37,666,279) x common factors =1 x 333 = 333

LCM(37,666,279) = ( 37 × 666 × 279 ) / 333

LCM(37,666,279) = 6875118 / 333

LCM(37,666,279) = 20646


Lets's calculate GCF of 415,366,998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20646/1

Therefore the LCM of Fractions 37/415,666/366,279/998 is 20646

Greatest Common Factor of 415,366,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,366,998 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 415,366,998 . The biggest common factor number is the GCF number.
So the greatest common factor 415,366,998 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 37/415, 666/366, 279/998

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 37/415, 666/366, 279/998?

Answer: LCM of Numerators as per given numbers 37/415, 666/366, 279/998 is

LCM of Numerators i.e. for 37,666,279 is 20646

GCF of denominators i.e. for 415,366,998 is 1.

Thus, LCM of Fractions is 20646.Finally, LCM of Fractions for 37/415, 666/366, 279/998 is 20646.