Least Common Multiple of 28/10, 36/61, 65/50, 70/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/10, 36/61, 65/50, 70/829 quickly i.e. 16380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/10, 36/61, 65/50, 70/829 is 16380.

LCM(28/10, 36/61, 65/50, 70/829) = 16380

LCM of 28/10, 36/61, 65/50, 70/829

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 28/10,36/61,65/50,70/829

Given numbers are 28/10,36/61,65/50,70/829

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 28,36,65,70

Least Common Multiple of Numerators i.e. LCM of 28,36,65,70 is 16380.

GCF of Denominators means GCF of 10,61,50,829 as per the given fractions.

GCF of 10,61,50,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,36,65,70

LCM of Fractions 28/10,36/61,65/50,70/829 is 16380

2 28, 36, 65, 70
2 14, 18, 65, 35
5 7, 9, 65, 35
7 7, 9, 13, 7
1, 9, 13, 1

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 9 x 13 x 1 = 16380

Least Common Multiple of 28,36,65,70 with GCF Formula

Least Common Multiple of 28,36,65,70 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 28,36,65,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,36,65,70) = 1

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

GCF(28,36,65,70) x common factors =1 x 280 = 280

LCM(28,36,65,70) = ( 28 × 36 × 65 × 70 ) / 280

LCM(28,36,65,70) = 4586400 / 280

LCM(28,36,65,70) = 16380


Lets's calculate GCF of 10,61,50,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16380/1

Therefore the LCM of Fractions 28/10,36/61,65/50,70/829 is 16380

Greatest Common Factor of 10,61,50,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,61,50,829 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 10,61,50,829 . The biggest common factor number is the GCF number.
So the greatest common factor 10,61,50,829 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 28/10, 36/61, 65/50, 70/829

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 28/10, 36/61, 65/50, 70/829?

Answer: LCM of Numerators as per given numbers 28/10, 36/61, 65/50, 70/829 is

LCM of Numerators i.e. for 28,36,65,70 is 16380

GCF of denominators i.e. for 10,61,50,829 is 1.

Thus, LCM of Fractions is 16380.Finally, LCM of Fractions for 28/10, 36/61, 65/50, 70/829 is 16380.