Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 946/952, 187/792, 368/650 quickly i.e. 1479544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 946/952, 187/792, 368/650 is 1479544.
LCM(946/952, 187/792, 368/650) = 1479544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 946/952,187/792,368/650
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 946,187,368
Least Common Multiple of Numerators i.e. LCM of 946,187,368 is 2959088.
GCF of Denominators means GCF of 952,792,650 as per the given fractions.
GCF of 952,792,650 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 946,187,368
2 | 946, 187, 368 |
11 | 473, 187, 184 |
43, 17, 184 |
∴ So the LCM of the given numbers is 2 x 11 x 43 x 17 x 184 = 2959088
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 946,187,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,187,368) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(946,187,368) x common factors =1 x 22 = 22
LCM(946,187,368) = ( 946 × 187 × 368 ) / 22
LCM(946,187,368) = 65099936 / 22
LCM(946,187,368) = 2959088
Lets's calculate GCF of 952,792,650
2 | 952, 792, 650 |
476, 396, 325 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2959088/2
Therefore the LCM of Fractions 946/952,187/792,368/650 is 1479544
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
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
Greatest Common Factor
We found the factors 952,792,650 . The biggest common factor number is the GCF number.
So the greatest common factor 952,792,650 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 946/952, 187/792, 368/650?
Answer: LCM of Numerators as per given numbers 946/952, 187/792, 368/650 is
LCM of Numerators i.e. for 946,187,368 is 2959088
GCF of denominators i.e. for 952,792,650 is 2.
Thus, LCM of Fractions is 1479544.Finally, LCM of Fractions for 946/952, 187/792, 368/650 is 1479544.