Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 974/453, 5580/890 quickly i.e. 2717460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 974/453, 5580/890 is 2717460.
LCM(974/453, 5580/890) = 2717460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 974/453,5580/890
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 974,5580
Least Common Multiple of Numerators i.e. LCM of 974,5580 is 2717460.
GCF of Denominators means GCF of 453,890 as per the given fractions.
GCF of 453,890 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 974,5580
2 | 974, 5580 |
487, 2790 |
∴ So the LCM of the given numbers is 2 x 487 x 2790 = 2717460
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 974,5580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,5580) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,5580) x common factors =2 x 1 = 2
LCM(974,5580) = ( 974 × 5580 ) / 2
LCM(974,5580) = 5434920 / 2
LCM(974,5580) = 2717460
Lets's calculate GCF of 453,890
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2717460/1
Therefore the LCM of Fractions 974/453,5580/890 is 2717460
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Greatest Common Factor
We found the factors 453,890 . The biggest common factor number is the GCF number.
So the greatest common factor 453,890 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 974/453, 5580/890?
Answer: LCM of Numerators as per given numbers 974/453, 5580/890 is
LCM of Numerators i.e. for 974,5580 is 2717460
GCF of denominators i.e. for 453,890 is 1.
Thus, LCM of Fractions is 2717460.Finally, LCM of Fractions for 974/453, 5580/890 is 2717460.