Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/650, 257/662, 940/562 quickly i.e. 1932640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/650, 257/662, 940/562 is 1932640.
LCM(64/650, 257/662, 940/562) = 1932640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/650,257/662,940/562
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 64,257,940
Least Common Multiple of Numerators i.e. LCM of 64,257,940 is 3865280.
GCF of Denominators means GCF of 650,662,562 as per the given fractions.
GCF of 650,662,562 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,257,940
2 | 64, 257, 940 |
2 | 32, 257, 470 |
16, 257, 235 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 257 x 235 = 3865280
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 64,257,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,257,940) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(64,257,940) x common factors =1 x 4 = 4
LCM(64,257,940) = ( 64 × 257 × 940 ) / 4
LCM(64,257,940) = 15461120 / 4
LCM(64,257,940) = 3865280
Lets's calculate GCF of 650,662,562
2 | 650, 662, 562 |
325, 331, 281 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3865280/2
Therefore the LCM of Fractions 64/650,257/662,940/562 is 1932640
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Greatest Common Factor
We found the factors 650,662,562 . The biggest common factor number is the GCF number.
So the greatest common factor 650,662,562 is 2.
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 64/650, 257/662, 940/562?
Answer: LCM of Numerators as per given numbers 64/650, 257/662, 940/562 is
LCM of Numerators i.e. for 64,257,940 is 3865280
GCF of denominators i.e. for 650,662,562 is 2.
Thus, LCM of Fractions is 1932640.Finally, LCM of Fractions for 64/650, 257/662, 940/562 is 1932640.