LCM of 16/30, 24/60, 32/75, 36/120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
With the aid of the LCM of Fractions Calculator, you can rapidly get the lowest common multiple of fractions 16/30, 24/60, 32/75, 36/120. Get the simple steps to find LCM of 16/30, 24/60, 32/75, 36/120 is 144.
LCM(16/30, 24/60, 32/75, 36/120) = 144
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Method to Find LCM of 16/30, 24/60, 32/75, 36/120
Given values are 16/30, 24/60, 32/75, 36/120
LCM of the Fractions formula is LCM = LCM of Numerators/GCF of Denominators
So, LCM of 16/30, 24/60, 32/75, 36/120 = LCM of (16, 24, 32, 36) /GCF of (30, 60, 75, 120)
The least common multiple of 16, 24, 32, 36 is 288
The GCF of 30, 60, 75, 120 is 2
By substituting these values in the LCM formula
LCM of fractions 16/30, 24/60, 32/75, 36/120 is 288/2 = 144
Therefore, the lowest common multiple of 16/30, 24/60, 32/75, 36/120 is 144.
LCM of 16, 24, 32, 36 using Common Division
Given numbers are 16, 24, 32, 36
| 2 | 16, 24, 32, 36 |
| 2 | 8, 12, 16, 18 |
| 2 | 4, 6, 8, 9 |
| 2 | 2, 3, 4, 9 |
| 2 | 1, 3, 2, 9 |
| 3 | 1, 3, 1, 9 |
| 3 | 1, 1, 1, 3 |
| 1, 1, 1 |
So, the Lowest Common Multiple of 16, 24, 32, 36 is 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288.
GCF of 30, 60, 75, 120 with Common Division
Given numbers are 30, 60, 75, 120
There is no common factor between the given numbers
So, the GCF of 30, 60, 75, 120 is 2
Thus, LCM Of 16/30, 24/60, 32/75, 36/120 = LCM of 16, 24, 32, 36/GCF of 30, 60, 75, 120
= 288/2 = 144
Therefore, the least common multiple of fractions 16/30, 24/60, 32/75, 36/120 is 144.
FAQs on LCM of Fractions 16/30, 24/60, 32/75, 36/120
1. What is the formula used to calculate lcm of fractions?
The formula used to find the LCM Of fractions is LCM = LCM of Numerators/GCF of Denominators.
2. What is the LCM of fractions 16/30, 24/60, 32/75, 36/120?
The LCM of fractions 16/30, 24/60, 32/75, 36/120 is 144.