Least Common Multiple of 949/58, 104/83, 744/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 949/58, 104/83, 744/402 quickly i.e. 706056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 949/58, 104/83, 744/402 is 706056.

LCM(949/58, 104/83, 744/402) = 706056

LCM of 949/58, 104/83, 744/402

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 949/58,104/83,744/402

Given numbers are 949/58,104/83,744/402

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 949,104,744

Least Common Multiple of Numerators i.e. LCM of 949,104,744 is 706056.

GCF of Denominators means GCF of 58,83,402 as per the given fractions.

GCF of 58,83,402 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 949,104,744

LCM of Fractions 949/58,104/83,744/402 is 706056

2 949, 104, 744
2 949, 52, 372
2 949, 26, 186
13 949, 13, 93
73, 1, 93

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 73 x 1 x 93 = 706056

Least Common Multiple of 949,104,744 with GCF Formula

Least Common Multiple of 949,104,744 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 949,104,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,104,744) = 1

common factors(in case of two or more numbers have common factors) = 104

GCF(949,104,744) x common factors =1 x 104 = 104

LCM(949,104,744) = ( 949 × 104 × 744 ) / 104

LCM(949,104,744) = 73429824 / 104

LCM(949,104,744) = 706056


Lets's calculate GCF of 58,83,402

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 706056/1

Therefore the LCM of Fractions 949/58,104/83,744/402 is 706056

Greatest Common Factor of 58,83,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,83,402 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 58,83,402 . The biggest common factor number is the GCF number.
So the greatest common factor 58,83,402 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 949/58, 104/83, 744/402

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 949/58, 104/83, 744/402?

Answer: LCM of Numerators as per given numbers 949/58, 104/83, 744/402 is

LCM of Numerators i.e. for 949,104,744 is 706056

GCF of denominators i.e. for 58,83,402 is 1.

Thus, LCM of Fractions is 706056.Finally, LCM of Fractions for 949/58, 104/83, 744/402 is 706056.