Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/55, 77/560, 78/140 quickly i.e. 24024/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/55, 77/560, 78/140 is 24024/5.
LCM(8/55, 77/560, 78/140) = 24024/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/55,77/560,78/140
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 8,77,78
Least Common Multiple of Numerators i.e. LCM of 8,77,78 is 24024.
GCF of Denominators means GCF of 55,560,140 as per the given fractions.
GCF of 55,560,140 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,77,78
2 | 8, 77, 78 |
4, 77, 39 |
∴ So the LCM of the given numbers is 2 x 4 x 77 x 39 = 24024
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 8,77,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,77,78) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(8,77,78) x common factors =1 x 2 = 2
LCM(8,77,78) = ( 8 × 77 × 78 ) / 2
LCM(8,77,78) = 48048 / 2
LCM(8,77,78) = 24024
Lets's calculate GCF of 55,560,140
5 | 55, 560, 140 |
11, 112, 28 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24024/5
Therefore the LCM of Fractions 8/55,77/560,78/140 is 24024/5
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 55,560,140 . The biggest common factor number is the GCF number.
So the greatest common factor 55,560,140 is 5.
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 8/55, 77/560, 78/140?
Answer: LCM of Numerators as per given numbers 8/55, 77/560, 78/140 is
LCM of Numerators i.e. for 8,77,78 is 24024
GCF of denominators i.e. for 55,560,140 is 5.
Thus, LCM of Fractions is 24024/5.Finally, LCM of Fractions for 8/55, 77/560, 78/140 is 24024/5.