Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 700/33, 154/88, 312/425 quickly i.e. 600600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 700/33, 154/88, 312/425 is 600600.
LCM(700/33, 154/88, 312/425) = 600600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 700/33,154/88,312/425
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 700,154,312
Least Common Multiple of Numerators i.e. LCM of 700,154,312 is 600600.
GCF of Denominators means GCF of 33,88,425 as per the given fractions.
GCF of 33,88,425 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 700,154,312
2 | 700, 154, 312 |
2 | 350, 77, 156 |
7 | 175, 77, 78 |
25, 11, 78 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 25 x 11 x 78 = 600600
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 700,154,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,154,312) = 2
common factors(in case of two or more numbers have common factors) = 28
GCF(700,154,312) x common factors =2 x 28 = 56
LCM(700,154,312) = ( 700 × 154 × 312 ) / 56
LCM(700,154,312) = 33633600 / 56
LCM(700,154,312) = 600600
Lets's calculate GCF of 33,88,425
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 600600/1
Therefore the LCM of Fractions 700/33,154/88,312/425 is 600600
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Greatest Common Factor
We found the factors 33,88,425 . The biggest common factor number is the GCF number.
So the greatest common factor 33,88,425 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 700/33, 154/88, 312/425?
Answer: LCM of Numerators as per given numbers 700/33, 154/88, 312/425 is
LCM of Numerators i.e. for 700,154,312 is 600600
GCF of denominators i.e. for 33,88,425 is 1.
Thus, LCM of Fractions is 600600.Finally, LCM of Fractions for 700/33, 154/88, 312/425 is 600600.