Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 940/977, 6030/8653 quickly i.e. 566820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 940/977, 6030/8653 is 566820.
LCM(940/977, 6030/8653) = 566820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 940/977,6030/8653
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 940,6030
Least Common Multiple of Numerators i.e. LCM of 940,6030 is 566820.
GCF of Denominators means GCF of 977,8653 as per the given fractions.
GCF of 977,8653 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 940,6030
2 | 940, 6030 |
5 | 470, 3015 |
94, 603 |
∴ So the LCM of the given numbers is 2 x 5 x 94 x 603 = 566820
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 940,6030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,6030) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(940,6030) x common factors =10 x 1 = 10
LCM(940,6030) = ( 940 × 6030 ) / 10
LCM(940,6030) = 5668200 / 10
LCM(940,6030) = 566820
Lets's calculate GCF of 977,8653
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 566820/1
Therefore the LCM of Fractions 940/977,6030/8653 is 566820
Factors of 977
List of positive integer factors of 977 that divides 977 without a remainder.
1,977
Factors of 8653
List of positive integer factors of 8653 that divides 8653 without a remainder.
1,17,509,8653
Greatest Common Factor
We found the factors 977,8653 . The biggest common factor number is the GCF number.
So the greatest common factor 977,8653 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 940/977, 6030/8653?
Answer: LCM of Numerators as per given numbers 940/977, 6030/8653 is
LCM of Numerators i.e. for 940,6030 is 566820
GCF of denominators i.e. for 977,8653 is 1.
Thus, LCM of Fractions is 566820.Finally, LCM of Fractions for 940/977, 6030/8653 is 566820.