Least Common Multiple of 68/200, 37/740, 407/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/200, 37/740, 407/445 quickly i.e. 27676/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/200, 37/740, 407/445 is 27676/5.

LCM(68/200, 37/740, 407/445) = 27676/5

LCM of 68/200, 37/740, 407/445

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 68/200,37/740,407/445

Given numbers are 68/200,37/740,407/445

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 68,37,407

Least Common Multiple of Numerators i.e. LCM of 68,37,407 is 27676.

GCF of Denominators means GCF of 200,740,445 as per the given fractions.

GCF of 200,740,445 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,37,407

LCM of Fractions 68/200,37/740,407/445 is 27676/5

37 68, 37, 407
68, 1, 11

∴ So the LCM of the given numbers is 37 x 68 x 1 x 11 = 27676

Least Common Multiple of 68,37,407 with GCF Formula

Least Common Multiple of 68,37,407 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 68,37,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,37,407) = 1

common factors(in case of two or more numbers have common factors) = 37

GCF(68,37,407) x common factors =1 x 37 = 37

LCM(68,37,407) = ( 68 × 37 × 407 ) / 37

LCM(68,37,407) = 1024012 / 37

LCM(68,37,407) = 27676


Lets's calculate GCF of 200,740,445

5 200, 740, 445
40, 148, 89

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27676/5

Therefore the LCM of Fractions 68/200,37/740,407/445 is 27676/5

Greatest Common Factor of 200,740,445 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,740,445 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Greatest Common Factor

We found the factors 200,740,445 . The biggest common factor number is the GCF number.
So the greatest common factor 200,740,445 is 5.


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 68/200, 37/740, 407/445

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 68/200, 37/740, 407/445?

Answer: LCM of Numerators as per given numbers 68/200, 37/740, 407/445 is

LCM of Numerators i.e. for 68,37,407 is 27676

GCF of denominators i.e. for 200,740,445 is 5.

Thus, LCM of Fractions is 27676/5.Finally, LCM of Fractions for 68/200, 37/740, 407/445 is 27676/5.