Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 675/908, 329/236, 560/728 quickly i.e. 888300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 675/908, 329/236, 560/728 is 888300.
LCM(675/908, 329/236, 560/728) = 888300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 675/908,329/236,560/728
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 675,329,560
Least Common Multiple of Numerators i.e. LCM of 675,329,560 is 3553200.
GCF of Denominators means GCF of 908,236,728 as per the given fractions.
GCF of 908,236,728 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 675,329,560
5 | 675, 329, 560 |
7 | 135, 329, 112 |
135, 47, 16 |
∴ So the LCM of the given numbers is 5 x 7 x 135 x 47 x 16 = 3553200
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 675,329,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,329,560) = 1
common factors(in case of two or more numbers have common factors) = 35
GCF(675,329,560) x common factors =1 x 35 = 35
LCM(675,329,560) = ( 675 × 329 × 560 ) / 35
LCM(675,329,560) = 124362000 / 35
LCM(675,329,560) = 3553200
Lets's calculate GCF of 908,236,728
2 | 908, 236, 728 |
2 | 454, 118, 364 |
227, 59, 182 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3553200/4
Therefore the LCM of Fractions 675/908,329/236,560/728 is 888300
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 908,236,728 . The biggest common factor number is the GCF number.
So the greatest common factor 908,236,728 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 675/908, 329/236, 560/728?
Answer: LCM of Numerators as per given numbers 675/908, 329/236, 560/728 is
LCM of Numerators i.e. for 675,329,560 is 3553200
GCF of denominators i.e. for 908,236,728 is 4.
Thus, LCM of Fractions is 888300.Finally, LCM of Fractions for 675/908, 329/236, 560/728 is 888300.