Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/70, 9/84, 9/76, 46/254 quickly i.e. 828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/70, 9/84, 9/76, 46/254 is 828.
LCM(8/70, 9/84, 9/76, 46/254) = 828
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/70,9/84,9/76,46/254
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 8,9,9,46
Least Common Multiple of Numerators i.e. LCM of 8,9,9,46 is 1656.
GCF of Denominators means GCF of 70,84,76,254 as per the given fractions.
GCF of 70,84,76,254 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,9,9,46
2 | 8, 9, 9, 46 |
3 | 4, 9, 9, 23 |
3 | 4, 3, 3, 23 |
4, 1, 1, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 4 x 1 x 1 x 23 = 1656
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 8,9,9,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,9,9,46) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(8,9,9,46) x common factors =1 x 18 = 18
LCM(8,9,9,46) = ( 8 × 9 × 9 × 46 ) / 18
LCM(8,9,9,46) = 29808 / 18
LCM(8,9,9,46) = 1656
Lets's calculate GCF of 70,84,76,254
2 | 70, 84, 76, 254 |
35, 42, 38, 127 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1656/2
Therefore the LCM of Fractions 8/70,9/84,9/76,46/254 is 828
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Greatest Common Factor
We found the factors 70,84,76,254 . The biggest common factor number is the GCF number.
So the greatest common factor 70,84,76,254 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 8/70, 9/84, 9/76, 46/254?
Answer: LCM of Numerators as per given numbers 8/70, 9/84, 9/76, 46/254 is
LCM of Numerators i.e. for 8,9,9,46 is 1656
GCF of denominators i.e. for 70,84,76,254 is 2.
Thus, LCM of Fractions is 828.Finally, LCM of Fractions for 8/70, 9/84, 9/76, 46/254 is 828.