Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 920/13, 780/85, 552/438 quickly i.e. 35880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 920/13, 780/85, 552/438 is 35880.
LCM(920/13, 780/85, 552/438) = 35880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 920/13,780/85,552/438
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 920,780,552
Least Common Multiple of Numerators i.e. LCM of 920,780,552 is 35880.
GCF of Denominators means GCF of 13,85,438 as per the given fractions.
GCF of 13,85,438 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 920,780,552
2 | 920, 780, 552 |
2 | 460, 390, 276 |
2 | 230, 195, 138 |
3 | 115, 195, 69 |
5 | 115, 65, 23 |
23 | 23, 13, 23 |
1, 13, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 23 x 1 x 13 x 1 = 35880
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 920,780,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,780,552) = 4
common factors(in case of two or more numbers have common factors) = 2760
GCF(920,780,552) x common factors =4 x 2760 = 11040
LCM(920,780,552) = ( 920 × 780 × 552 ) / 11040
LCM(920,780,552) = 396115200 / 11040
LCM(920,780,552) = 35880
Lets's calculate GCF of 13,85,438
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35880/1
Therefore the LCM of Fractions 920/13,780/85,552/438 is 35880
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 13,85,438 . The biggest common factor number is the GCF number.
So the greatest common factor 13,85,438 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 920/13, 780/85, 552/438?
Answer: LCM of Numerators as per given numbers 920/13, 780/85, 552/438 is
LCM of Numerators i.e. for 920,780,552 is 35880
GCF of denominators i.e. for 13,85,438 is 1.
Thus, LCM of Fractions is 35880.Finally, LCM of Fractions for 920/13, 780/85, 552/438 is 35880.