Least Common Multiple of 37/105, 550/365, 438/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/105, 550/365, 438/818 quickly i.e. 4456650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/105, 550/365, 438/818 is 4456650.

LCM(37/105, 550/365, 438/818) = 4456650

LCM of 37/105, 550/365, 438/818

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 37/105,550/365,438/818

Given numbers are 37/105,550/365,438/818

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 37,550,438

Least Common Multiple of Numerators i.e. LCM of 37,550,438 is 4456650.

GCF of Denominators means GCF of 105,365,818 as per the given fractions.

GCF of 105,365,818 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,550,438

LCM of Fractions 37/105,550/365,438/818 is 4456650

2 37, 550, 438
37, 275, 219

∴ So the LCM of the given numbers is 2 x 37 x 275 x 219 = 4456650

Least Common Multiple of 37,550,438 with GCF Formula

Least Common Multiple of 37,550,438 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 37,550,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,550,438) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(37,550,438) x common factors =1 x 2 = 2

LCM(37,550,438) = ( 37 × 550 × 438 ) / 2

LCM(37,550,438) = 8913300 / 2

LCM(37,550,438) = 4456650


Lets's calculate GCF of 105,365,818

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4456650/1

Therefore the LCM of Fractions 37/105,550/365,438/818 is 4456650

Greatest Common Factor of 105,365,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,365,818 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 105,365,818 . The biggest common factor number is the GCF number.
So the greatest common factor 105,365,818 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 37/105, 550/365, 438/818

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 37/105, 550/365, 438/818?

Answer: LCM of Numerators as per given numbers 37/105, 550/365, 438/818 is

LCM of Numerators i.e. for 37,550,438 is 4456650

GCF of denominators i.e. for 105,365,818 is 1.

Thus, LCM of Fractions is 4456650.Finally, LCM of Fractions for 37/105, 550/365, 438/818 is 4456650.