Least Common Multiple of 38/207, 1860/3740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/207, 1860/3740 quickly i.e. 35340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/207, 1860/3740 is 35340.

LCM(38/207, 1860/3740) = 35340

LCM of 38/207, 1860/3740

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 38/207,1860/3740

Given numbers are 38/207,1860/3740

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 38,1860

Least Common Multiple of Numerators i.e. LCM of 38,1860 is 35340.

GCF of Denominators means GCF of 207,3740 as per the given fractions.

GCF of 207,3740 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,1860

LCM of Fractions 38/207,1860/3740 is 35340

2 38, 1860
19, 930

∴ So the LCM of the given numbers is 2 x 19 x 930 = 35340

Least Common Multiple of 38,1860 with GCF Formula

Least Common Multiple of 38,1860 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 38,1860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,1860) = 2

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

GCF(38,1860) x common factors =2 x 1 = 2

LCM(38,1860) = ( 38 × 1860 ) / 2

LCM(38,1860) = 70680 / 2

LCM(38,1860) = 35340


Lets's calculate GCF of 207,3740

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35340/1

Therefore the LCM of Fractions 38/207,1860/3740 is 35340

Greatest Common Factor of 207,3740 By Matching Biggest Common Factor Method

Greatest Common Factor of 207,3740 By Matching Biggest Common Factor Method

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 3740

List of positive integer factors of 3740 that divides 3740 without a remainder.

1,2,4,5,10,11,17,20,22,34,44,55,68,85,110,170,187,220,340,374,748,935,1870,3740

Greatest Common Factor

We found the factors 207,3740 . The biggest common factor number is the GCF number.
So the greatest common factor 207,3740 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 38/207, 1860/3740

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 38/207, 1860/3740?

Answer: LCM of Numerators as per given numbers 38/207, 1860/3740 is

LCM of Numerators i.e. for 38,1860 is 35340

GCF of denominators i.e. for 207,3740 is 1.

Thus, LCM of Fractions is 35340.Finally, LCM of Fractions for 38/207, 1860/3740 is 35340.