Least Common Multiple of 70/28, 69/21, 75/31, 65/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/28, 69/21, 75/31, 65/990 quickly i.e. 313950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/28, 69/21, 75/31, 65/990 is 313950.

LCM(70/28, 69/21, 75/31, 65/990) = 313950

LCM of 70/28, 69/21, 75/31, 65/990

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 70/28,69/21,75/31,65/990

Given numbers are 70/28,69/21,75/31,65/990

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 70,69,75,65

Least Common Multiple of Numerators i.e. LCM of 70,69,75,65 is 313950.

GCF of Denominators means GCF of 28,21,31,990 as per the given fractions.

GCF of 28,21,31,990 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,69,75,65

LCM of Fractions 70/28,69/21,75/31,65/990 is 313950

3 70, 69, 75, 65
5 70, 23, 25, 65
14, 23, 5, 13

∴ So the LCM of the given numbers is 3 x 5 x 14 x 23 x 5 x 13 = 313950

Least Common Multiple of 70,69,75,65 with GCF Formula

Least Common Multiple of 70,69,75,65 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 70,69,75,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,69,75,65) = 1

common factors(in case of two or more numbers have common factors) = 75

GCF(70,69,75,65) x common factors =1 x 75 = 75

LCM(70,69,75,65) = ( 70 × 69 × 75 × 65 ) / 75

LCM(70,69,75,65) = 23546250 / 75

LCM(70,69,75,65) = 313950


Lets's calculate GCF of 28,21,31,990

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 313950/1

Therefore the LCM of Fractions 70/28,69/21,75/31,65/990 is 313950

Greatest Common Factor of 28,21,31,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,21,31,990 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 28,21,31,990 . The biggest common factor number is the GCF number.
So the greatest common factor 28,21,31,990 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 70/28, 69/21, 75/31, 65/990

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 70/28, 69/21, 75/31, 65/990?

Answer: LCM of Numerators as per given numbers 70/28, 69/21, 75/31, 65/990 is

LCM of Numerators i.e. for 70,69,75,65 is 313950

GCF of denominators i.e. for 28,21,31,990 is 1.

Thus, LCM of Fractions is 313950.Finally, LCM of Fractions for 70/28, 69/21, 75/31, 65/990 is 313950.