Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 910/62, 813/51, 182/946 quickly i.e. 739830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 910/62, 813/51, 182/946 is 739830.
LCM(910/62, 813/51, 182/946) = 739830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 910/62,813/51,182/946
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 910,813,182
Least Common Multiple of Numerators i.e. LCM of 910,813,182 is 739830.
GCF of Denominators means GCF of 62,51,946 as per the given fractions.
GCF of 62,51,946 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 910,813,182
2 | 910, 813, 182 |
7 | 455, 813, 91 |
13 | 65, 813, 13 |
5, 813, 1 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 5 x 813 x 1 = 739830
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 910,813,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,813,182) = 1
common factors(in case of two or more numbers have common factors) = 182
GCF(910,813,182) x common factors =1 x 182 = 182
LCM(910,813,182) = ( 910 × 813 × 182 ) / 182
LCM(910,813,182) = 134649060 / 182
LCM(910,813,182) = 739830
Lets's calculate GCF of 62,51,946
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 739830/1
Therefore the LCM of Fractions 910/62,813/51,182/946 is 739830
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 62,51,946 . The biggest common factor number is the GCF number.
So the greatest common factor 62,51,946 is 1.
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 910/62, 813/51, 182/946?
Answer: LCM of Numerators as per given numbers 910/62, 813/51, 182/946 is
LCM of Numerators i.e. for 910,813,182 is 739830
GCF of denominators i.e. for 62,51,946 is 1.
Thus, LCM of Fractions is 739830.Finally, LCM of Fractions for 910/62, 813/51, 182/946 is 739830.