Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 930/982, 426/904, 893/708 quickly i.e. 29482395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 930/982, 426/904, 893/708 is 29482395.
LCM(930/982, 426/904, 893/708) = 29482395
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 930/982,426/904,893/708
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 930,426,893
Least Common Multiple of Numerators i.e. LCM of 930,426,893 is 58964790.
GCF of Denominators means GCF of 982,904,708 as per the given fractions.
GCF of 982,904,708 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 930,426,893
2 | 930, 426, 893 |
3 | 465, 213, 893 |
155, 71, 893 |
∴ So the LCM of the given numbers is 2 x 3 x 155 x 71 x 893 = 58964790
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 930,426,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,426,893) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(930,426,893) x common factors =1 x 6 = 6
LCM(930,426,893) = ( 930 × 426 × 893 ) / 6
LCM(930,426,893) = 353788740 / 6
LCM(930,426,893) = 58964790
Lets's calculate GCF of 982,904,708
2 | 982, 904, 708 |
491, 452, 354 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58964790/2
Therefore the LCM of Fractions 930/982,426/904,893/708 is 29482395
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Greatest Common Factor
We found the factors 982,904,708 . The biggest common factor number is the GCF number.
So the greatest common factor 982,904,708 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 930/982, 426/904, 893/708?
Answer: LCM of Numerators as per given numbers 930/982, 426/904, 893/708 is
LCM of Numerators i.e. for 930,426,893 is 58964790
GCF of denominators i.e. for 982,904,708 is 2.
Thus, LCM of Fractions is 29482395.Finally, LCM of Fractions for 930/982, 426/904, 893/708 is 29482395.