Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/61, 2/56, 70/88, 38/185 quickly i.e. 3990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/61, 2/56, 70/88, 38/185 is 3990.
LCM(6/61, 2/56, 70/88, 38/185) = 3990
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/61,2/56,70/88,38/185
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 6,2,70,38
Least Common Multiple of Numerators i.e. LCM of 6,2,70,38 is 3990.
GCF of Denominators means GCF of 61,56,88,185 as per the given fractions.
GCF of 61,56,88,185 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,2,70,38
2 | 6, 2, 70, 38 |
3, 1, 35, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 1 x 35 x 19 = 3990
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 6,2,70,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,2,70,38) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(6,2,70,38) x common factors =2 x 4 = 8
LCM(6,2,70,38) = ( 6 × 2 × 70 × 38 ) / 8
LCM(6,2,70,38) = 31920 / 8
LCM(6,2,70,38) = 3990
Lets's calculate GCF of 61,56,88,185
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3990/1
Therefore the LCM of Fractions 6/61,2/56,70/88,38/185 is 3990
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Greatest Common Factor
We found the factors 61,56,88,185 . The biggest common factor number is the GCF number.
So the greatest common factor 61,56,88,185 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 6/61, 2/56, 70/88, 38/185?
Answer: LCM of Numerators as per given numbers 6/61, 2/56, 70/88, 38/185 is
LCM of Numerators i.e. for 6,2,70,38 is 3990
GCF of denominators i.e. for 61,56,88,185 is 1.
Thus, LCM of Fractions is 3990.Finally, LCM of Fractions for 6/61, 2/56, 70/88, 38/185 is 3990.