Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/882, 920/494, 293/639 quickly i.e. 23451720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/882, 920/494, 293/639 is 23451720.
LCM(87/882, 920/494, 293/639) = 23451720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/882,920/494,293/639
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 87,920,293
Least Common Multiple of Numerators i.e. LCM of 87,920,293 is 23451720.
GCF of Denominators means GCF of 882,494,639 as per the given fractions.
GCF of 882,494,639 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,920,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 23451720
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 87,920,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,920,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,920,293) x common factors =1 x 1 = 1
LCM(87,920,293) = ( 87 × 920 × 293 ) / 1
LCM(87,920,293) = 23451720 / 1
LCM(87,920,293) = 23451720
Lets's calculate GCF of 882,494,639
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23451720/1
Therefore the LCM of Fractions 87/882,920/494,293/639 is 23451720
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
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 882,494,639 . The biggest common factor number is the GCF number.
So the greatest common factor 882,494,639 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 87/882, 920/494, 293/639?
Answer: LCM of Numerators as per given numbers 87/882, 920/494, 293/639 is
LCM of Numerators i.e. for 87,920,293 is 23451720
GCF of denominators i.e. for 882,494,639 is 1.
Thus, LCM of Fractions is 23451720.Finally, LCM of Fractions for 87/882, 920/494, 293/639 is 23451720.