Least Common Multiple of 70/24, 28/14, 76/23, 65/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/24, 28/14, 76/23, 65/522 quickly i.e. 34580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/24, 28/14, 76/23, 65/522 is 34580.

LCM(70/24, 28/14, 76/23, 65/522) = 34580

LCM of 70/24, 28/14, 76/23, 65/522

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 70/24,28/14,76/23,65/522

Given numbers are 70/24,28/14,76/23,65/522

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 70,28,76,65

Least Common Multiple of Numerators i.e. LCM of 70,28,76,65 is 34580.

GCF of Denominators means GCF of 24,14,23,522 as per the given fractions.

GCF of 24,14,23,522 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,28,76,65

LCM of Fractions 70/24,28/14,76/23,65/522 is 34580

2 70, 28, 76, 65
2 35, 14, 38, 65
5 35, 7, 19, 65
7 7, 7, 19, 13
1, 1, 19, 13

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 1 x 19 x 13 = 34580

Least Common Multiple of 70,28,76,65 with GCF Formula

Least Common Multiple of 70,28,76,65 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 70,28,76,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,28,76,65) = 1

common factors(in case of two or more numbers have common factors) = 280

GCF(70,28,76,65) x common factors =1 x 280 = 280

LCM(70,28,76,65) = ( 70 × 28 × 76 × 65 ) / 280

LCM(70,28,76,65) = 9682400 / 280

LCM(70,28,76,65) = 34580


Lets's calculate GCF of 24,14,23,522

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34580/1

Therefore the LCM of Fractions 70/24,28/14,76/23,65/522 is 34580

Greatest Common Factor of 24,14,23,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,14,23,522 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 14

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

1,2,7,14

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 24,14,23,522 . The biggest common factor number is the GCF number.
So the greatest common factor 24,14,23,522 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 70/24, 28/14, 76/23, 65/522

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 70/24, 28/14, 76/23, 65/522?

Answer: LCM of Numerators as per given numbers 70/24, 28/14, 76/23, 65/522 is

LCM of Numerators i.e. for 70,28,76,65 is 34580

GCF of denominators i.e. for 24,14,23,522 is 1.

Thus, LCM of Fractions is 34580.Finally, LCM of Fractions for 70/24, 28/14, 76/23, 65/522 is 34580.