Least Common Multiple of 69/13, 56/74, 63/62, 49/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/13, 56/74, 63/62, 49/422 quickly i.e. 81144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/13, 56/74, 63/62, 49/422 is 81144.

LCM(69/13, 56/74, 63/62, 49/422) = 81144

LCM of 69/13, 56/74, 63/62, 49/422

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 69/13,56/74,63/62,49/422

Given numbers are 69/13,56/74,63/62,49/422

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 69,56,63,49

Least Common Multiple of Numerators i.e. LCM of 69,56,63,49 is 81144.

GCF of Denominators means GCF of 13,74,62,422 as per the given fractions.

GCF of 13,74,62,422 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,56,63,49

LCM of Fractions 69/13,56/74,63/62,49/422 is 81144

3 69, 56, 63, 49
7 23, 56, 21, 49
23, 8, 3, 7

∴ So the LCM of the given numbers is 3 x 7 x 23 x 8 x 3 x 7 = 81144

Least Common Multiple of 69,56,63,49 with GCF Formula

Least Common Multiple of 69,56,63,49 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 69,56,63,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,56,63,49) = 1

common factors(in case of two or more numbers have common factors) = 147

GCF(69,56,63,49) x common factors =1 x 147 = 147

LCM(69,56,63,49) = ( 69 × 56 × 63 × 49 ) / 147

LCM(69,56,63,49) = 11928168 / 147

LCM(69,56,63,49) = 81144


Lets's calculate GCF of 13,74,62,422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81144/1

Therefore the LCM of Fractions 69/13,56/74,63/62,49/422 is 81144

Greatest Common Factor of 13,74,62,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,74,62,422 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 62

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

1,2,31,62

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 13,74,62,422 . The biggest common factor number is the GCF number.
So the greatest common factor 13,74,62,422 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 69/13, 56/74, 63/62, 49/422

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 69/13, 56/74, 63/62, 49/422?

Answer: LCM of Numerators as per given numbers 69/13, 56/74, 63/62, 49/422 is

LCM of Numerators i.e. for 69,56,63,49 is 81144

GCF of denominators i.e. for 13,74,62,422 is 1.

Thus, LCM of Fractions is 81144.Finally, LCM of Fractions for 69/13, 56/74, 63/62, 49/422 is 81144.