Least Common Multiple of 64/62, 622/36, 768/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/62, 622/36, 768/595 quickly i.e. 238848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/62, 622/36, 768/595 is 238848.

LCM(64/62, 622/36, 768/595) = 238848

LCM of 64/62, 622/36, 768/595

Enter two or more fractions separated by "commas"

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

LCM of:

Least Common Multiple of 64/62,622/36,768/595

Given numbers are 64/62,622/36,768/595

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 64,622,768

Least Common Multiple of Numerators i.e. LCM of 64,622,768 is 238848.

GCF of Denominators means GCF of 62,36,595 as per the given fractions.

GCF of 62,36,595 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,622,768

LCM of Fractions 64/62,622/36,768/595 is 238848

2 64, 622, 768
2 32, 311, 384
2 16, 311, 192
2 8, 311, 96
2 4, 311, 48
2 2, 311, 24
1, 311, 12

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 1 x 311 x 12 = 238848

Least Common Multiple of 64,622,768 with GCF Formula

Least Common Multiple of 64,622,768 with GCF Formula

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 64,622,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,622,768) = 2

common factors(in case of two or more numbers have common factors) = 64

GCF(64,622,768) x common factors =2 x 64 = 128

LCM(64,622,768) = ( 64 × 622 × 768 ) / 128

LCM(64,622,768) = 30572544 / 128

LCM(64,622,768) = 238848


Lets's calculate GCF of 62,36,595

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238848/1

Therefore the LCM of Fractions 64/62,622/36,768/595 is 238848

Greatest Common Factor of 62,36,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,36,595 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 62,36,595 . The biggest common factor number is the GCF number.
So the greatest common factor 62,36,595 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/62, 622/36, 768/595

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 64/62, 622/36, 768/595?

Answer: LCM of Numerators as per given numbers 64/62, 622/36, 768/595 is

LCM of Numerators i.e. for 64,622,768 is 238848

GCF of denominators i.e. for 62,36,595 is 1.

Thus, LCM of Fractions is 238848.Finally, LCM of Fractions for 64/62, 622/36, 768/595 is 238848.