Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/852, 639/486, 579/429 quickly i.e. 2754303 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/852, 639/486, 579/429 is 2754303.
LCM(67/852, 639/486, 579/429) = 2754303
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/852,639/486,579/429
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 67,639,579
Least Common Multiple of Numerators i.e. LCM of 67,639,579 is 8262909.
GCF of Denominators means GCF of 852,486,429 as per the given fractions.
GCF of 852,486,429 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,639,579
3 | 67, 639, 579 |
67, 213, 193 |
∴ So the LCM of the given numbers is 3 x 67 x 213 x 193 = 8262909
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 67,639,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,639,579) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(67,639,579) x common factors =1 x 3 = 3
LCM(67,639,579) = ( 67 × 639 × 579 ) / 3
LCM(67,639,579) = 24788727 / 3
LCM(67,639,579) = 8262909
Lets's calculate GCF of 852,486,429
3 | 852, 486, 429 |
284, 162, 143 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8262909/3
Therefore the LCM of Fractions 67/852,639/486,579/429 is 2754303
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Greatest Common Factor
We found the factors 852,486,429 . The biggest common factor number is the GCF number.
So the greatest common factor 852,486,429 is 3.
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 67/852, 639/486, 579/429?
Answer: LCM of Numerators as per given numbers 67/852, 639/486, 579/429 is
LCM of Numerators i.e. for 67,639,579 is 8262909
GCF of denominators i.e. for 852,486,429 is 3.
Thus, LCM of Fractions is 2754303.Finally, LCM of Fractions for 67/852, 639/486, 579/429 is 2754303.