Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/852, 26/346, 822/546 quickly i.e. 133575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/852, 26/346, 822/546 is 133575.
LCM(75/852, 26/346, 822/546) = 133575
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/852,26/346,822/546
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 75,26,822
Least Common Multiple of Numerators i.e. LCM of 75,26,822 is 267150.
GCF of Denominators means GCF of 852,346,546 as per the given fractions.
GCF of 852,346,546 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,26,822
2 | 75, 26, 822 |
3 | 75, 13, 411 |
25, 13, 137 |
∴ So the LCM of the given numbers is 2 x 3 x 25 x 13 x 137 = 267150
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 75,26,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,26,822) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(75,26,822) x common factors =1 x 6 = 6
LCM(75,26,822) = ( 75 × 26 × 822 ) / 6
LCM(75,26,822) = 1602900 / 6
LCM(75,26,822) = 267150
Lets's calculate GCF of 852,346,546
2 | 852, 346, 546 |
426, 173, 273 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267150/2
Therefore the LCM of Fractions 75/852,26/346,822/546 is 133575
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 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 852,346,546 . The biggest common factor number is the GCF number.
So the greatest common factor 852,346,546 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 75/852, 26/346, 822/546?
Answer: LCM of Numerators as per given numbers 75/852, 26/346, 822/546 is
LCM of Numerators i.e. for 75,26,822 is 267150
GCF of denominators i.e. for 852,346,546 is 2.
Thus, LCM of Fractions is 133575.Finally, LCM of Fractions for 75/852, 26/346, 822/546 is 133575.