Least Common Multiple of 949/217, 332/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 949/217, 332/399 quickly i.e. 315068/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 949/217, 332/399 is 315068/7.

LCM(949/217, 332/399) = 315068/7

LCM of 949/217, 332/399

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 949/217,332/399

Given numbers are 949/217,332/399

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 949,332

Least Common Multiple of Numerators i.e. LCM of 949,332 is 315068.

GCF of Denominators means GCF of 217,399 as per the given fractions.

GCF of 217,399 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 949,332

LCM of Fractions 949/217,332/399 is 315068/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 315068

Least Common Multiple of 949,332 with GCF Formula

Least Common Multiple of 949,332 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 949,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,332) = 1

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

GCF(949,332) x common factors =1 x 1 = 1

LCM(949,332) = ( 949 × 332 ) / 1

LCM(949,332) = 315068 / 1

LCM(949,332) = 315068


Lets's calculate GCF of 217,399

7 217, 399
31, 57

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315068/7

Therefore the LCM of Fractions 949/217,332/399 is 315068/7

Greatest Common Factor of 217,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,399 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 217,399 . The biggest common factor number is the GCF number.
So the greatest common factor 217,399 is 7.


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 949/217, 332/399

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 949/217, 332/399?

Answer: LCM of Numerators as per given numbers 949/217, 332/399 is

LCM of Numerators i.e. for 949,332 is 315068

GCF of denominators i.e. for 217,399 is 7.

Thus, LCM of Fractions is 315068/7.Finally, LCM of Fractions for 949/217, 332/399 is 315068/7.