Least Common Multiple of 213/817, 5701/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/817, 5701/950 quickly i.e. 1214313/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/817, 5701/950 is 1214313/19.

LCM(213/817, 5701/950) = 1214313/19

LCM of 213/817, 5701/950

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 213/817,5701/950

Given numbers are 213/817,5701/950

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 213,5701

Least Common Multiple of Numerators i.e. LCM of 213,5701 is 1214313.

GCF of Denominators means GCF of 817,950 as per the given fractions.

GCF of 817,950 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,5701

LCM of Fractions 213/817,5701/950 is 1214313/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 1214313

Least Common Multiple of 213,5701 with GCF Formula

Least Common Multiple of 213,5701 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 213,5701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,5701) = 1

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

GCF(213,5701) x common factors =1 x 1 = 1

LCM(213,5701) = ( 213 × 5701 ) / 1

LCM(213,5701) = 1214313 / 1

LCM(213,5701) = 1214313


Lets's calculate GCF of 817,950

19 817, 950
43, 50

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1214313/19

Therefore the LCM of Fractions 213/817,5701/950 is 1214313/19

Greatest Common Factor of 817,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,950 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 817,950 . The biggest common factor number is the GCF number.
So the greatest common factor 817,950 is 19.


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 213/817, 5701/950

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 213/817, 5701/950?

Answer: LCM of Numerators as per given numbers 213/817, 5701/950 is

LCM of Numerators i.e. for 213,5701 is 1214313

GCF of denominators i.e. for 817,950 is 19.

Thus, LCM of Fractions is 1214313/19.Finally, LCM of Fractions for 213/817, 5701/950 is 1214313/19.