Least Common Multiple of 213/969, 958/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/969, 958/629 quickly i.e. 204054/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/969, 958/629 is 204054/17.

LCM(213/969, 958/629) = 204054/17

LCM of 213/969, 958/629

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 213/969,958/629

Given numbers are 213/969,958/629

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 213,958

Least Common Multiple of Numerators i.e. LCM of 213,958 is 204054.

GCF of Denominators means GCF of 969,629 as per the given fractions.

GCF of 969,629 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,958

LCM of Fractions 213/969,958/629 is 204054/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 204054

Least Common Multiple of 213,958 with GCF Formula

Least Common Multiple of 213,958 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 213,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,958) = 1

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

GCF(213,958) x common factors =1 x 1 = 1

LCM(213,958) = ( 213 × 958 ) / 1

LCM(213,958) = 204054 / 1

LCM(213,958) = 204054


Lets's calculate GCF of 969,629

17 969, 629
57, 37

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204054/17

Therefore the LCM of Fractions 213/969,958/629 is 204054/17

Greatest Common Factor of 969,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,629 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 969,629 . The biggest common factor number is the GCF number.
So the greatest common factor 969,629 is 17.


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 213/969, 958/629

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 213/969, 958/629?

Answer: LCM of Numerators as per given numbers 213/969, 958/629 is

LCM of Numerators i.e. for 213,958 is 204054

GCF of denominators i.e. for 969,629 is 17.

Thus, LCM of Fractions is 204054/17.Finally, LCM of Fractions for 213/969, 958/629 is 204054/17.