Least Common Multiple of 9/12, 95/670, 70/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/12, 95/670, 70/907 quickly i.e. 11970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/12, 95/670, 70/907 is 11970.

LCM(9/12, 95/670, 70/907) = 11970

LCM of 9/12, 95/670, 70/907

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 9/12,95/670,70/907

Given numbers are 9/12,95/670,70/907

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 9,95,70

Least Common Multiple of Numerators i.e. LCM of 9,95,70 is 11970.

GCF of Denominators means GCF of 12,670,907 as per the given fractions.

GCF of 12,670,907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,95,70

LCM of Fractions 9/12,95/670,70/907 is 11970

5 9, 95, 70
9, 19, 14

∴ So the LCM of the given numbers is 5 x 9 x 19 x 14 = 11970

Least Common Multiple of 9,95,70 with GCF Formula

Least Common Multiple of 9,95,70 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 9,95,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,95,70) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(9,95,70) x common factors =1 x 5 = 5

LCM(9,95,70) = ( 9 × 95 × 70 ) / 5

LCM(9,95,70) = 59850 / 5

LCM(9,95,70) = 11970


Lets's calculate GCF of 12,670,907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11970/1

Therefore the LCM of Fractions 9/12,95/670,70/907 is 11970

Greatest Common Factor of 12,670,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,670,907 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors 12,670,907 . The biggest common factor number is the GCF number.
So the greatest common factor 12,670,907 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 9/12, 95/670, 70/907

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 9/12, 95/670, 70/907?

Answer: LCM of Numerators as per given numbers 9/12, 95/670, 70/907 is

LCM of Numerators i.e. for 9,95,70 is 11970

GCF of denominators i.e. for 12,670,907 is 1.

Thus, LCM of Fractions is 11970.Finally, LCM of Fractions for 9/12, 95/670, 70/907 is 11970.