Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 133/376, 971/828, 370/336 quickly i.e. 47782910/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 133/376, 971/828, 370/336 is 47782910/4.
LCM(133/376, 971/828, 370/336) = 47782910/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 133/376,971/828,370/336
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 133,971,370
Least Common Multiple of Numerators i.e. LCM of 133,971,370 is 47782910.
GCF of Denominators means GCF of 376,828,336 as per the given fractions.
GCF of 376,828,336 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 133,971,370
Given numbers has no common factors except 1. So, there LCM is their product i.e 47782910
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 133,971,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,971,370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,971,370) x common factors =1 x 1 = 1
LCM(133,971,370) = ( 133 × 971 × 370 ) / 1
LCM(133,971,370) = 47782910 / 1
LCM(133,971,370) = 47782910
Lets's calculate GCF of 376,828,336
2 | 376, 828, 336 |
2 | 188, 414, 168 |
94, 207, 84 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47782910/4
Therefore the LCM of Fractions 133/376,971/828,370/336 is 47782910/4
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 376,828,336 . The biggest common factor number is the GCF number.
So the greatest common factor 376,828,336 is 4.
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 133/376, 971/828, 370/336?
Answer: LCM of Numerators as per given numbers 133/376, 971/828, 370/336 is
LCM of Numerators i.e. for 133,971,370 is 47782910
GCF of denominators i.e. for 376,828,336 is 4.
Thus, LCM of Fractions is 47782910/4.Finally, LCM of Fractions for 133/376, 971/828, 370/336 is 47782910/4.