LCM of 1000/288, 1440/864

Given values are 1000/288, 1440/864

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

So, LCM of 1000/288, 1440/864 = LCM of (1000, 1440) /GCF of (288, 864)

The least common multiple of 1000, 1440 is 36000

The GCF of 288, 864 is 288

By substituting these values in the LCM formula

LCM of fractions 1000/288, 1440/864 is 36000/288 = 125

Therefore, the lowest common multiple of 1000/288, 1440/864 is 125.

LCM of 1000, 1440 using Common Division

Given numbers are 1000, 1440

2	1000, 1440
2	500, 720
2	250, 360
2	125, 180
2	125, 90
3	125, 45
3	125, 15
5	125, 5
5	25, 1
5	5, 1
	1, 1, 1

So, the Lowest Common Multiple of 1000, 1440 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 = 36000.

GCF of 288, 864 with Common Division

Given numbers are 288, 864

There is no common factor between the given numbers

So, the GCF of 288, 864 is 288

Thus, LCM Of 1000/288, 1440/864 = LCM of 1000, 1440/GCF of 288, 864

= 36000/288 = 125

Therefore, the least common multiple of fractions 1000/288, 1440/864 is 125.

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 1000/288, 1440/864?

The LCM of fractions 1000/288, 1440/864 is 125.