Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6875/946, 2430/9284 quickly i.e. 151875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6875/946, 2430/9284 is 151875.
LCM(6875/946, 2430/9284) = 151875
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6875/946,2430/9284
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 6875,2430
Least Common Multiple of Numerators i.e. LCM of 6875,2430 is 3341250.
GCF of Denominators means GCF of 946,9284 as per the given fractions.
GCF of 946,9284 is 22 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6875,2430
5 | 6875, 2430 |
1375, 486 |
∴ So the LCM of the given numbers is 5 x 1375 x 486 = 3341250
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 6875,2430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6875,2430) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(6875,2430) x common factors =5 x 1 = 5
LCM(6875,2430) = ( 6875 × 2430 ) / 5
LCM(6875,2430) = 16706250 / 5
LCM(6875,2430) = 3341250
Lets's calculate GCF of 946,9284
2 | 946, 9284 |
11 | 473, 4642 |
43, 422 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3341250/22
Therefore the LCM of Fractions 6875/946,2430/9284 is 151875
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Factors of 9284
List of positive integer factors of 9284 that divides 9284 without a remainder.
1,2,4,11,22,44,211,422,844,2321,4642,9284
Greatest Common Factor
We found the factors 946,9284 . The biggest common factor number is the GCF number.
So the greatest common factor 946,9284 is 22.
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 6875/946, 2430/9284?
Answer: LCM of Numerators as per given numbers 6875/946, 2430/9284 is
LCM of Numerators i.e. for 6875,2430 is 3341250
GCF of denominators i.e. for 946,9284 is 22.
Thus, LCM of Fractions is 151875.Finally, LCM of Fractions for 6875/946, 2430/9284 is 151875.