Least Common Multiple of 5425/183, 3835/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5425/183, 3835/214 quickly i.e. 4160975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5425/183, 3835/214 is 4160975.

LCM(5425/183, 3835/214) = 4160975

LCM of 5425/183, 3835/214

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 5425/183,3835/214

Given numbers are 5425/183,3835/214

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 5425,3835

Least Common Multiple of Numerators i.e. LCM of 5425,3835 is 4160975.

GCF of Denominators means GCF of 183,214 as per the given fractions.

GCF of 183,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5425,3835

LCM of Fractions 5425/183,3835/214 is 4160975

5 5425, 3835
1085, 767

∴ So the LCM of the given numbers is 5 x 1085 x 767 = 4160975

Least Common Multiple of 5425,3835 with GCF Formula

Least Common Multiple of 5425,3835 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 5425,3835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5425,3835) = 5

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

GCF(5425,3835) x common factors =5 x 1 = 5

LCM(5425,3835) = ( 5425 × 3835 ) / 5

LCM(5425,3835) = 20804875 / 5

LCM(5425,3835) = 4160975


Lets's calculate GCF of 183,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4160975/1

Therefore the LCM of Fractions 5425/183,3835/214 is 4160975

Greatest Common Factor of 183,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,214 By Matching Biggest Common Factor Method

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 183,214 . The biggest common factor number is the GCF number.
So the greatest common factor 183,214 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 5425/183, 3835/214

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 5425/183, 3835/214?

Answer: LCM of Numerators as per given numbers 5425/183, 3835/214 is

LCM of Numerators i.e. for 5425,3835 is 4160975

GCF of denominators i.e. for 183,214 is 1.

Thus, LCM of Fractions is 4160975.Finally, LCM of Fractions for 5425/183, 3835/214 is 4160975.