Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/616, 482/156, 552/844 quickly i.e. 1430094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/616, 482/156, 552/844 is 1430094.
LCM(86/616, 482/156, 552/844) = 1430094
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/616,482/156,552/844
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 86,482,552
Least Common Multiple of Numerators i.e. LCM of 86,482,552 is 5720376.
GCF of Denominators means GCF of 616,156,844 as per the given fractions.
GCF of 616,156,844 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,482,552
2 | 86, 482, 552 |
43, 241, 276 |
∴ So the LCM of the given numbers is 2 x 43 x 241 x 276 = 5720376
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 86,482,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,482,552) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(86,482,552) x common factors =2 x 2 = 4
LCM(86,482,552) = ( 86 × 482 × 552 ) / 4
LCM(86,482,552) = 22881504 / 4
LCM(86,482,552) = 5720376
Lets's calculate GCF of 616,156,844
2 | 616, 156, 844 |
2 | 308, 78, 422 |
154, 39, 211 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5720376/4
Therefore the LCM of Fractions 86/616,482/156,552/844 is 1430094
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Greatest Common Factor
We found the factors 616,156,844 . The biggest common factor number is the GCF number.
So the greatest common factor 616,156,844 is 4.
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 86/616, 482/156, 552/844?
Answer: LCM of Numerators as per given numbers 86/616, 482/156, 552/844 is
LCM of Numerators i.e. for 86,482,552 is 5720376
GCF of denominators i.e. for 616,156,844 is 4.
Thus, LCM of Fractions is 1430094.Finally, LCM of Fractions for 86/616, 482/156, 552/844 is 1430094.