Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 220/782, 3291/6104 quickly i.e. 362010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 220/782, 3291/6104 is 362010.
LCM(220/782, 3291/6104) = 362010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 220/782,3291/6104
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 220,3291
Least Common Multiple of Numerators i.e. LCM of 220,3291 is 724020.
GCF of Denominators means GCF of 782,6104 as per the given fractions.
GCF of 782,6104 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 220,3291
Given numbers has no common factors except 1. So, there LCM is their product i.e 724020
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 220,3291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,3291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(220,3291) x common factors =1 x 1 = 1
LCM(220,3291) = ( 220 × 3291 ) / 1
LCM(220,3291) = 724020 / 1
LCM(220,3291) = 724020
Lets's calculate GCF of 782,6104
2 | 782, 6104 |
391, 3052 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 724020/2
Therefore the LCM of Fractions 220/782,3291/6104 is 362010
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 6104
List of positive integer factors of 6104 that divides 6104 without a remainder.
1,2,4,7,8,14,28,56,109,218,436,763,872,1526,3052,6104
Greatest Common Factor
We found the factors 782,6104 . The biggest common factor number is the GCF number.
So the greatest common factor 782,6104 is 2.
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 220/782, 3291/6104?
Answer: LCM of Numerators as per given numbers 220/782, 3291/6104 is
LCM of Numerators i.e. for 220,3291 is 724020
GCF of denominators i.e. for 782,6104 is 2.
Thus, LCM of Fractions is 362010.Finally, LCM of Fractions for 220/782, 3291/6104 is 362010.