Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/662, 196/30, 599/184 quickly i.e. 176106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/662, 196/30, 599/184 is 176106.
LCM(42/662, 196/30, 599/184) = 176106
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/662,196/30,599/184
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 42,196,599
Least Common Multiple of Numerators i.e. LCM of 42,196,599 is 352212.
GCF of Denominators means GCF of 662,30,184 as per the given fractions.
GCF of 662,30,184 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,196,599
2 | 42, 196, 599 |
7 | 21, 98, 599 |
3, 14, 599 |
∴ So the LCM of the given numbers is 2 x 7 x 3 x 14 x 599 = 352212
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 42,196,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,196,599) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(42,196,599) x common factors =1 x 14 = 14
LCM(42,196,599) = ( 42 × 196 × 599 ) / 14
LCM(42,196,599) = 4930968 / 14
LCM(42,196,599) = 352212
Lets's calculate GCF of 662,30,184
2 | 662, 30, 184 |
331, 15, 92 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 352212/2
Therefore the LCM of Fractions 42/662,196/30,599/184 is 176106
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 662,30,184 . The biggest common factor number is the GCF number.
So the greatest common factor 662,30,184 is 2.
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 42/662, 196/30, 599/184?
Answer: LCM of Numerators as per given numbers 42/662, 196/30, 599/184 is
LCM of Numerators i.e. for 42,196,599 is 352212
GCF of denominators i.e. for 662,30,184 is 2.
Thus, LCM of Fractions is 176106.Finally, LCM of Fractions for 42/662, 196/30, 599/184 is 176106.