Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 150/158, 7682/632 quickly i.e. 576150/158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 150/158, 7682/632 is 576150/158.
LCM(150/158, 7682/632) = 576150/158
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 150/158,7682/632
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 150,7682
Least Common Multiple of Numerators i.e. LCM of 150,7682 is 576150.
GCF of Denominators means GCF of 158,632 as per the given fractions.
GCF of 158,632 is 158 as it is the largest common factor for these numbers.
Lets's calculate LCM of 150,7682
2 | 150, 7682 |
75, 3841 |
∴ So the LCM of the given numbers is 2 x 75 x 3841 = 576150
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 150,7682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,7682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(150,7682) x common factors =2 x 1 = 2
LCM(150,7682) = ( 150 × 7682 ) / 2
LCM(150,7682) = 1152300 / 2
LCM(150,7682) = 576150
Lets's calculate GCF of 158,632
2 | 158, 632 |
79 | 79, 316 |
1, 4 |
∴ So the GCF of the given numbers is 2 x 79 = 158
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 576150/158
Therefore the LCM of Fractions 150/158,7682/632 is 576150/158
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Greatest Common Factor
We found the factors 158,632 . The biggest common factor number is the GCF number.
So the greatest common factor 158,632 is 158.
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 150/158, 7682/632?
Answer: LCM of Numerators as per given numbers 150/158, 7682/632 is
LCM of Numerators i.e. for 150,7682 is 576150
GCF of denominators i.e. for 158,632 is 158.
Thus, LCM of Fractions is 576150/158.Finally, LCM of Fractions for 150/158, 7682/632 is 576150/158.