Least Common Multiple of 69/14, 58/30, 87/63, 44/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/14, 58/30, 87/63, 44/762 quickly i.e. 88044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/14, 58/30, 87/63, 44/762 is 88044.

LCM(69/14, 58/30, 87/63, 44/762) = 88044

LCM of 69/14, 58/30, 87/63, 44/762

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 69/14,58/30,87/63,44/762

Given numbers are 69/14,58/30,87/63,44/762

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 69,58,87,44

Least Common Multiple of Numerators i.e. LCM of 69,58,87,44 is 88044.

GCF of Denominators means GCF of 14,30,63,762 as per the given fractions.

GCF of 14,30,63,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,58,87,44

LCM of Fractions 69/14,58/30,87/63,44/762 is 88044

2 69, 58, 87, 44
3 69, 29, 87, 22
29 23, 29, 29, 22
23, 1, 1, 22

∴ So the LCM of the given numbers is 2 x 3 x 29 x 23 x 1 x 1 x 22 = 88044

Least Common Multiple of 69,58,87,44 with GCF Formula

Least Common Multiple of 69,58,87,44 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 69,58,87,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,58,87,44) = 1

common factors(in case of two or more numbers have common factors) = 174

GCF(69,58,87,44) x common factors =1 x 174 = 174

LCM(69,58,87,44) = ( 69 × 58 × 87 × 44 ) / 174

LCM(69,58,87,44) = 15319656 / 174

LCM(69,58,87,44) = 88044


Lets's calculate GCF of 14,30,63,762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88044/1

Therefore the LCM of Fractions 69/14,58/30,87/63,44/762 is 88044

Greatest Common Factor of 14,30,63,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,30,63,762 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 14,30,63,762 . The biggest common factor number is the GCF number.
So the greatest common factor 14,30,63,762 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 69/14, 58/30, 87/63, 44/762

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 69/14, 58/30, 87/63, 44/762?

Answer: LCM of Numerators as per given numbers 69/14, 58/30, 87/63, 44/762 is

LCM of Numerators i.e. for 69,58,87,44 is 88044

GCF of denominators i.e. for 14,30,63,762 is 1.

Thus, LCM of Fractions is 88044.Finally, LCM of Fractions for 69/14, 58/30, 87/63, 44/762 is 88044.