Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/701, 944/362, 668/116 quickly i.e. 157648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/701, 944/362, 668/116 is 157648.
LCM(59/701, 944/362, 668/116) = 157648
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/701,944/362,668/116
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 59,944,668
Least Common Multiple of Numerators i.e. LCM of 59,944,668 is 157648.
GCF of Denominators means GCF of 701,362,116 as per the given fractions.
GCF of 701,362,116 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,944,668
2 | 59, 944, 668 |
2 | 59, 472, 334 |
59 | 59, 236, 167 |
1, 4, 167 |
∴ So the LCM of the given numbers is 2 x 2 x 59 x 1 x 4 x 167 = 157648
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 59,944,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,944,668) = 1
common factors(in case of two or more numbers have common factors) = 236
GCF(59,944,668) x common factors =1 x 236 = 236
LCM(59,944,668) = ( 59 × 944 × 668 ) / 236
LCM(59,944,668) = 37204928 / 236
LCM(59,944,668) = 157648
Lets's calculate GCF of 701,362,116
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157648/1
Therefore the LCM of Fractions 59/701,944/362,668/116 is 157648
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 701,362,116 . The biggest common factor number is the GCF number.
So the greatest common factor 701,362,116 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 59/701, 944/362, 668/116?
Answer: LCM of Numerators as per given numbers 59/701, 944/362, 668/116 is
LCM of Numerators i.e. for 59,944,668 is 157648
GCF of denominators i.e. for 701,362,116 is 1.
Thus, LCM of Fractions is 157648.Finally, LCM of Fractions for 59/701, 944/362, 668/116 is 157648.