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LCM of 23/15, 24/20, 25/24, 120/48

Created By : Prasanna
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 23/15, 24/20, 25/24, 120/48. Get the simple steps to find LCM of 23/15, 24/20, 25/24, 120/48 is 2760.

LCM(23/15, 24/20, 25/24, 120/48) = 2760

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Method to Find LCM of 23/15, 24/20, 25/24, 120/48

Given values are 23/15, 24/20, 25/24, 120/48

LCM of the Fractions formula is LCM = LCM of Numerators/GCF of Denominators

So, LCM of 23/15, 24/20, 25/24, 120/48 = LCM of (23, 24, 25, 120) /GCF of (15, 20, 24, 48)

The least common multiple of 23, 24, 25, 120 is 13800

The GCF of 15, 20, 24, 48 is 5

By substituting these values in the LCM formula

LCM of fractions 23/15, 24/20, 25/24, 120/48 is 13800/5 = 2760

Therefore, the lowest common multiple of 23/15, 24/20, 25/24, 120/48 is 2760.

LCM of 23, 24, 25, 120 using Common Division

Given numbers are 23, 24, 25, 120

2  23, 24, 25, 120
2  23, 12, 25, 60
2  23, 6, 25, 30
3  23, 3, 25, 15
5  23, 1, 25, 5
5  23, 1, 5, 1
23  23, 1, 1, 1
 1, 1, 1

So, the Lowest Common Multiple of 23, 24, 25, 120 is 2 x 2 x 2 x 3 x 5 x 5 x 23 = 13800.

GCF of 15, 20, 24, 48 with Common Division

Given numbers are 15, 20, 24, 48

There is no common factor between the given numbers

So, the GCF of 15, 20, 24, 48 is 5

Thus, LCM Of 23/15, 24/20, 25/24, 120/48 = LCM of 23, 24, 25, 120/GCF of 15, 20, 24, 48

= 13800/5 = 2760

Therefore, the least common multiple of fractions 23/15, 24/20, 25/24, 120/48 is 2760.

FAQs on LCM of Fractions 23/15, 24/20, 25/24, 120/48

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 23/15, 24/20, 25/24, 120/48?

The LCM of fractions 23/15, 24/20, 25/24, 120/48 is 2760.