Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/969, 90/501 quickly i.e. 210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/969, 90/501 is 210.
LCM(42/969, 90/501) = 210
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/969,90/501
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 42,90
Least Common Multiple of Numerators i.e. LCM of 42,90 is 630.
GCF of Denominators means GCF of 969,501 as per the given fractions.
GCF of 969,501 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,90
2 | 42, 90 |
3 | 21, 45 |
7, 15 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 15 = 630
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 42,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,90) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(42,90) x common factors =6 x 1 = 6
LCM(42,90) = ( 42 × 90 ) / 6
LCM(42,90) = 3780 / 6
LCM(42,90) = 630
Lets's calculate GCF of 969,501
3 | 969, 501 |
323, 167 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 630/3
Therefore the LCM of Fractions 42/969,90/501 is 210
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Greatest Common Factor
We found the factors 969,501 . The biggest common factor number is the GCF number.
So the greatest common factor 969,501 is 3.
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 42/969, 90/501?
Answer: LCM of Numerators as per given numbers 42/969, 90/501 is
LCM of Numerators i.e. for 42,90 is 630
GCF of denominators i.e. for 969,501 is 3.
Thus, LCM of Fractions is 210.Finally, LCM of Fractions for 42/969, 90/501 is 210.