Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 974/167, 3250/167 quickly i.e. 1582750/167 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 974/167, 3250/167 is 1582750/167.
LCM(974/167, 3250/167) = 1582750/167
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 974/167,3250/167
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 974,3250
Least Common Multiple of Numerators i.e. LCM of 974,3250 is 1582750.
GCF of Denominators means GCF of 167,167 as per the given fractions.
GCF of 167,167 is 167 as it is the largest common factor for these numbers.
Lets's calculate LCM of 974,3250
2 | 974, 3250 |
487, 1625 |
∴ So the LCM of the given numbers is 2 x 487 x 1625 = 1582750
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 974,3250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,3250) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,3250) x common factors =2 x 1 = 2
LCM(974,3250) = ( 974 × 3250 ) / 2
LCM(974,3250) = 3165500 / 2
LCM(974,3250) = 1582750
Lets's calculate GCF of 167,167
167 | 167, 167 |
1, 1 |
∴ So the GCF of the given numbers is 167 = 167
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1582750/167
Therefore the LCM of Fractions 974/167,3250/167 is 1582750/167
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Greatest Common Factor
We found the factors 167,167 . The biggest common factor number is the GCF number.
So the greatest common factor 167,167 is 167.
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 974/167, 3250/167?
Answer: LCM of Numerators as per given numbers 974/167, 3250/167 is
LCM of Numerators i.e. for 974,3250 is 1582750
GCF of denominators i.e. for 167,167 is 167.
Thus, LCM of Fractions is 1582750/167.Finally, LCM of Fractions for 974/167, 3250/167 is 1582750/167.