Least Common Multiple of 95/10, 70/31, 14/20, 89/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/10, 70/31, 14/20, 89/307 quickly i.e. 118370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/10, 70/31, 14/20, 89/307 is 118370.

LCM(95/10, 70/31, 14/20, 89/307) = 118370

LCM of 95/10, 70/31, 14/20, 89/307

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 95/10,70/31,14/20,89/307

Given numbers are 95/10,70/31,14/20,89/307

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 95,70,14,89

Least Common Multiple of Numerators i.e. LCM of 95,70,14,89 is 118370.

GCF of Denominators means GCF of 10,31,20,307 as per the given fractions.

GCF of 10,31,20,307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,70,14,89

LCM of Fractions 95/10,70/31,14/20,89/307 is 118370

2 95, 70, 14, 89
5 95, 35, 7, 89
7 19, 7, 7, 89
19, 1, 1, 89

∴ So the LCM of the given numbers is 2 x 5 x 7 x 19 x 1 x 1 x 89 = 118370

Least Common Multiple of 95,70,14,89 with GCF Formula

Least Common Multiple of 95,70,14,89 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 95,70,14,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,70,14,89) = 1

common factors(in case of two or more numbers have common factors) = 70

GCF(95,70,14,89) x common factors =1 x 70 = 70

LCM(95,70,14,89) = ( 95 × 70 × 14 × 89 ) / 70

LCM(95,70,14,89) = 8285900 / 70

LCM(95,70,14,89) = 118370


Lets's calculate GCF of 10,31,20,307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118370/1

Therefore the LCM of Fractions 95/10,70/31,14/20,89/307 is 118370

Greatest Common Factor of 10,31,20,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,31,20,307 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 31

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

1,31

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 10,31,20,307 . The biggest common factor number is the GCF number.
So the greatest common factor 10,31,20,307 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 95/10, 70/31, 14/20, 89/307

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 95/10, 70/31, 14/20, 89/307?

Answer: LCM of Numerators as per given numbers 95/10, 70/31, 14/20, 89/307 is

LCM of Numerators i.e. for 95,70,14,89 is 118370

GCF of denominators i.e. for 10,31,20,307 is 1.

Thus, LCM of Fractions is 118370.Finally, LCM of Fractions for 95/10, 70/31, 14/20, 89/307 is 118370.