Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 831/21, 554/94, 946/974 quickly i.e. 786126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 831/21, 554/94, 946/974 is 786126.
LCM(831/21, 554/94, 946/974) = 786126
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 831/21,554/94,946/974
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 831,554,946
Least Common Multiple of Numerators i.e. LCM of 831,554,946 is 786126.
GCF of Denominators means GCF of 21,94,974 as per the given fractions.
GCF of 21,94,974 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 831,554,946
2 | 831, 554, 946 |
277 | 831, 277, 473 |
3, 1, 473 |
∴ So the LCM of the given numbers is 2 x 277 x 3 x 1 x 473 = 786126
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 831,554,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,554,946) = 1
common factors(in case of two or more numbers have common factors) = 554
GCF(831,554,946) x common factors =1 x 554 = 554
LCM(831,554,946) = ( 831 × 554 × 946 ) / 554
LCM(831,554,946) = 435513804 / 554
LCM(831,554,946) = 786126
Lets's calculate GCF of 21,94,974
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 786126/1
Therefore the LCM of Fractions 831/21,554/94,946/974 is 786126
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Greatest Common Factor
We found the factors 21,94,974 . The biggest common factor number is the GCF number.
So the greatest common factor 21,94,974 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 831/21, 554/94, 946/974?
Answer: LCM of Numerators as per given numbers 831/21, 554/94, 946/974 is
LCM of Numerators i.e. for 831,554,946 is 786126
GCF of denominators i.e. for 21,94,974 is 1.
Thus, LCM of Fractions is 786126.Finally, LCM of Fractions for 831/21, 554/94, 946/974 is 786126.