Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/465, 700/482, 964/737 quickly i.e. 506100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/465, 700/482, 964/737 is 506100.
LCM(60/465, 700/482, 964/737) = 506100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/465,700/482,964/737
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 60,700,964
Least Common Multiple of Numerators i.e. LCM of 60,700,964 is 506100.
GCF of Denominators means GCF of 465,482,737 as per the given fractions.
GCF of 465,482,737 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,700,964
2 | 60, 700, 964 |
2 | 30, 350, 482 |
5 | 15, 175, 241 |
3, 35, 241 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 3 x 35 x 241 = 506100
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 60,700,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,700,964) = 4
common factors(in case of two or more numbers have common factors) = 20
GCF(60,700,964) x common factors =4 x 20 = 80
LCM(60,700,964) = ( 60 × 700 × 964 ) / 80
LCM(60,700,964) = 40488000 / 80
LCM(60,700,964) = 506100
Lets's calculate GCF of 465,482,737
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 506100/1
Therefore the LCM of Fractions 60/465,700/482,964/737 is 506100
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Greatest Common Factor
We found the factors 465,482,737 . The biggest common factor number is the GCF number.
So the greatest common factor 465,482,737 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 60/465, 700/482, 964/737?
Answer: LCM of Numerators as per given numbers 60/465, 700/482, 964/737 is
LCM of Numerators i.e. for 60,700,964 is 506100
GCF of denominators i.e. for 465,482,737 is 1.
Thus, LCM of Fractions is 506100.Finally, LCM of Fractions for 60/465, 700/482, 964/737 is 506100.