Least Common Multiple of 954/76, 394/91, 669/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 954/76, 394/91, 669/490 quickly i.e. 41910174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 954/76, 394/91, 669/490 is 41910174.

LCM(954/76, 394/91, 669/490) = 41910174

LCM of 954/76, 394/91, 669/490

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 954/76,394/91,669/490

Given numbers are 954/76,394/91,669/490

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 954,394,669

Least Common Multiple of Numerators i.e. LCM of 954,394,669 is 41910174.

GCF of Denominators means GCF of 76,91,490 as per the given fractions.

GCF of 76,91,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 954,394,669

LCM of Fractions 954/76,394/91,669/490 is 41910174

2 954, 394, 669
3 477, 197, 669
159, 197, 223

∴ So the LCM of the given numbers is 2 x 3 x 159 x 197 x 223 = 41910174

Least Common Multiple of 954,394,669 with GCF Formula

Least Common Multiple of 954,394,669 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 954,394,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,394,669) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(954,394,669) x common factors =1 x 6 = 6

LCM(954,394,669) = ( 954 × 394 × 669 ) / 6

LCM(954,394,669) = 251461044 / 6

LCM(954,394,669) = 41910174


Lets's calculate GCF of 76,91,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41910174/1

Therefore the LCM of Fractions 954/76,394/91,669/490 is 41910174

Greatest Common Factor of 76,91,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,91,490 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 76,91,490 . The biggest common factor number is the GCF number.
So the greatest common factor 76,91,490 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 954/76, 394/91, 669/490

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 954/76, 394/91, 669/490?

Answer: LCM of Numerators as per given numbers 954/76, 394/91, 669/490 is

LCM of Numerators i.e. for 954,394,669 is 41910174

GCF of denominators i.e. for 76,91,490 is 1.

Thus, LCM of Fractions is 41910174.Finally, LCM of Fractions for 954/76, 394/91, 669/490 is 41910174.