Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 134/79, 133/89, 707/472 quickly i.e. 1800022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 134/79, 133/89, 707/472 is 1800022.
LCM(134/79, 133/89, 707/472) = 1800022
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 134/79,133/89,707/472
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 134,133,707
Least Common Multiple of Numerators i.e. LCM of 134,133,707 is 1800022.
GCF of Denominators means GCF of 79,89,472 as per the given fractions.
GCF of 79,89,472 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 134,133,707
7 | 134, 133, 707 |
134, 19, 101 |
∴ So the LCM of the given numbers is 7 x 134 x 19 x 101 = 1800022
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 134,133,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,133,707) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(134,133,707) x common factors =1 x 7 = 7
LCM(134,133,707) = ( 134 × 133 × 707 ) / 7
LCM(134,133,707) = 12600154 / 7
LCM(134,133,707) = 1800022
Lets's calculate GCF of 79,89,472
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1800022/1
Therefore the LCM of Fractions 134/79,133/89,707/472 is 1800022
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Greatest Common Factor
We found the factors 79,89,472 . The biggest common factor number is the GCF number.
So the greatest common factor 79,89,472 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 134/79, 133/89, 707/472?
Answer: LCM of Numerators as per given numbers 134/79, 133/89, 707/472 is
LCM of Numerators i.e. for 134,133,707 is 1800022
GCF of denominators i.e. for 79,89,472 is 1.
Thus, LCM of Fractions is 1800022.Finally, LCM of Fractions for 134/79, 133/89, 707/472 is 1800022.