Least Common Multiple of 63/58, 22/52, 78/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 63/58, 22/52, 78/536 quickly i.e. 9009 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/58, 22/52, 78/536 is 9009.

LCM(63/58, 22/52, 78/536) = 9009

LCM of 63/58, 22/52, 78/536

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 63/58,22/52,78/536

Given numbers are 63/58,22/52,78/536

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 63,22,78

Least Common Multiple of Numerators i.e. LCM of 63,22,78 is 18018.

GCF of Denominators means GCF of 58,52,536 as per the given fractions.

GCF of 58,52,536 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,22,78

LCM of Fractions 63/58,22/52,78/536 is 9009

2 63, 22, 78
3 63, 11, 39
21, 11, 13

∴ So the LCM of the given numbers is 2 x 3 x 21 x 11 x 13 = 18018

Least Common Multiple of 63,22,78 with GCF Formula

Least Common Multiple of 63,22,78 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 63,22,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,22,78) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(63,22,78) x common factors =1 x 6 = 6

LCM(63,22,78) = ( 63 × 22 × 78 ) / 6

LCM(63,22,78) = 108108 / 6

LCM(63,22,78) = 18018


Lets's calculate GCF of 58,52,536

2 58, 52, 536
29, 26, 268

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18018/2

Therefore the LCM of Fractions 63/58,22/52,78/536 is 9009

Greatest Common Factor of 58,52,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,52,536 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 58,52,536 . The biggest common factor number is the GCF number.
So the greatest common factor 58,52,536 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 63/58, 22/52, 78/536

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 63/58, 22/52, 78/536?

Answer: LCM of Numerators as per given numbers 63/58, 22/52, 78/536 is

LCM of Numerators i.e. for 63,22,78 is 18018

GCF of denominators i.e. for 58,52,536 is 2.

Thus, LCM of Fractions is 9009.Finally, LCM of Fractions for 63/58, 22/52, 78/536 is 9009.