Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/837, 78/663, 705/129 quickly i.e. 134420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/837, 78/663, 705/129 is 134420.
LCM(44/837, 78/663, 705/129) = 134420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/837,78/663,705/129
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 44,78,705
Least Common Multiple of Numerators i.e. LCM of 44,78,705 is 403260.
GCF of Denominators means GCF of 837,663,129 as per the given fractions.
GCF of 837,663,129 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,78,705
2 | 44, 78, 705 |
3 | 22, 39, 705 |
22, 13, 235 |
∴ So the LCM of the given numbers is 2 x 3 x 22 x 13 x 235 = 403260
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 44,78,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,78,705) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(44,78,705) x common factors =1 x 6 = 6
LCM(44,78,705) = ( 44 × 78 × 705 ) / 6
LCM(44,78,705) = 2419560 / 6
LCM(44,78,705) = 403260
Lets's calculate GCF of 837,663,129
3 | 837, 663, 129 |
279, 221, 43 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403260/3
Therefore the LCM of Fractions 44/837,78/663,705/129 is 134420
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Greatest Common Factor
We found the factors 837,663,129 . The biggest common factor number is the GCF number.
So the greatest common factor 837,663,129 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 44/837, 78/663, 705/129?
Answer: LCM of Numerators as per given numbers 44/837, 78/663, 705/129 is
LCM of Numerators i.e. for 44,78,705 is 403260
GCF of denominators i.e. for 837,663,129 is 3.
Thus, LCM of Fractions is 134420.Finally, LCM of Fractions for 44/837, 78/663, 705/129 is 134420.