Least Common Multiple of 3850/36, 9400/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3850/36, 9400/147 quickly i.e. 723800/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3850/36, 9400/147 is 723800/3.

LCM(3850/36, 9400/147) = 723800/3

LCM of 3850/36, 9400/147

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 3850/36,9400/147

Given numbers are 3850/36,9400/147

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 3850,9400

Least Common Multiple of Numerators i.e. LCM of 3850,9400 is 723800.

GCF of Denominators means GCF of 36,147 as per the given fractions.

GCF of 36,147 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3850,9400

LCM of Fractions 3850/36,9400/147 is 723800/3

2 3850, 9400
5 1925, 4700
5 385, 940
77, 188

∴ So the LCM of the given numbers is 2 x 5 x 5 x 77 x 188 = 723800

Least Common Multiple of 3850,9400 with GCF Formula

Least Common Multiple of 3850,9400 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 3850,9400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3850,9400) = 50

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

GCF(3850,9400) x common factors =50 x 1 = 50

LCM(3850,9400) = ( 3850 × 9400 ) / 50

LCM(3850,9400) = 36190000 / 50

LCM(3850,9400) = 723800


Lets's calculate GCF of 36,147

3 36, 147
12, 49

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 723800/3

Therefore the LCM of Fractions 3850/36,9400/147 is 723800/3

Greatest Common Factor of 36,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,147 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 36,147 . The biggest common factor number is the GCF number.
So the greatest common factor 36,147 is 3.


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 3850/36, 9400/147

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 3850/36, 9400/147?

Answer: LCM of Numerators as per given numbers 3850/36, 9400/147 is

LCM of Numerators i.e. for 3850,9400 is 723800

GCF of denominators i.e. for 36,147 is 3.

Thus, LCM of Fractions is 723800/3.Finally, LCM of Fractions for 3850/36, 9400/147 is 723800/3.