Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/479, 57/782, 732/639 quickly i.e. 486780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/479, 57/782, 732/639 is 486780.
LCM(70/479, 57/782, 732/639) = 486780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/479,57/782,732/639
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 70,57,732
Least Common Multiple of Numerators i.e. LCM of 70,57,732 is 486780.
GCF of Denominators means GCF of 479,782,639 as per the given fractions.
GCF of 479,782,639 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,57,732
2 | 70, 57, 732 |
3 | 35, 57, 366 |
35, 19, 122 |
∴ So the LCM of the given numbers is 2 x 3 x 35 x 19 x 122 = 486780
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 70,57,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,57,732) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(70,57,732) x common factors =1 x 6 = 6
LCM(70,57,732) = ( 70 × 57 × 732 ) / 6
LCM(70,57,732) = 2920680 / 6
LCM(70,57,732) = 486780
Lets's calculate GCF of 479,782,639
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 486780/1
Therefore the LCM of Fractions 70/479,57/782,732/639 is 486780
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Greatest Common Factor
We found the factors 479,782,639 . The biggest common factor number is the GCF number.
So the greatest common factor 479,782,639 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 70/479, 57/782, 732/639?
Answer: LCM of Numerators as per given numbers 70/479, 57/782, 732/639 is
LCM of Numerators i.e. for 70,57,732 is 486780
GCF of denominators i.e. for 479,782,639 is 1.
Thus, LCM of Fractions is 486780.Finally, LCM of Fractions for 70/479, 57/782, 732/639 is 486780.