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LCM of 216/85, 4096/561

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 216/85, 4096/561. Get the simple steps to find LCM of 216/85, 4096/561 is 6505.4118.

LCM(216/85, 4096/561) = 6505.4118

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 216/85, 4096/561

Given values are 216/85, 4096/561

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

So, LCM of 216/85, 4096/561 = LCM of (216, 4096) /GCF of (85, 561)

The least common multiple of 216, 4096 is 110592

The GCF of 85, 561 is 17

By substituting these values in the LCM formula

LCM of fractions 216/85, 4096/561 is 110592/17 = 6505.4118

Therefore, the lowest common multiple of 216/85, 4096/561 is 6505.4118.

LCM of 216, 4096 using Common Division

Given numbers are 216, 4096

2  216, 4096
2  108, 2048
2  54, 1024
2  27, 512
2  27, 256
2  27, 128
2  27, 64
2  27, 32
2  27, 16
2  27, 8
2  27, 4
2  27, 2
3  27, 1
3  9, 1
3  3, 1
 1, 1, 1

So, the Lowest Common Multiple of 216, 4096 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 = 110592.

GCF of 85, 561 with Common Division

Given numbers are 85, 561

There is no common factor between the given numbers

So, the GCF of 85, 561 is 17

Thus, LCM Of 216/85, 4096/561 = LCM of 216, 4096/GCF of 85, 561

= 110592/17 = 6505.4118

Therefore, the least common multiple of fractions 216/85, 4096/561 is 6505.4118.

FAQs on LCM of Fractions 216/85, 4096/561

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 216/85, 4096/561?

The LCM of fractions 216/85, 4096/561 is 6505.4118.