Least Common Multiple of 83/340, 601/950, 669/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/340, 601/950, 669/716 quickly i.e. 33371727/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/340, 601/950, 669/716 is 33371727/2.

LCM(83/340, 601/950, 669/716) = 33371727/2

LCM of 83/340, 601/950, 669/716

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 83/340,601/950,669/716

Given numbers are 83/340,601/950,669/716

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 83,601,669

Least Common Multiple of Numerators i.e. LCM of 83,601,669 is 33371727.

GCF of Denominators means GCF of 340,950,716 as per the given fractions.

GCF of 340,950,716 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,601,669

LCM of Fractions 83/340,601/950,669/716 is 33371727/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 33371727

Least Common Multiple of 83,601,669 with GCF Formula

Least Common Multiple of 83,601,669 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 83,601,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,601,669) = 1

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

GCF(83,601,669) x common factors =1 x 1 = 1

LCM(83,601,669) = ( 83 × 601 × 669 ) / 1

LCM(83,601,669) = 33371727 / 1

LCM(83,601,669) = 33371727


Lets's calculate GCF of 340,950,716

2 340, 950, 716
170, 475, 358

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33371727/2

Therefore the LCM of Fractions 83/340,601/950,669/716 is 33371727/2

Greatest Common Factor of 340,950,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,950,716 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

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

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 340,950,716 . The biggest common factor number is the GCF number.
So the greatest common factor 340,950,716 is 2.


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 83/340, 601/950, 669/716

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 83/340, 601/950, 669/716?

Answer: LCM of Numerators as per given numbers 83/340, 601/950, 669/716 is

LCM of Numerators i.e. for 83,601,669 is 33371727

GCF of denominators i.e. for 340,950,716 is 2.

Thus, LCM of Fractions is 33371727/2.Finally, LCM of Fractions for 83/340, 601/950, 669/716 is 33371727/2.