Least Common Multiple of 70/738, 17/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/738, 17/138 quickly i.e. 1190/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/738, 17/138 is 1190/6.

LCM(70/738, 17/138) = 1190/6

LCM of 70/738, 17/138

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 70/738,17/138

Given numbers are 70/738,17/138

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 70,17

Least Common Multiple of Numerators i.e. LCM of 70,17 is 1190.

GCF of Denominators means GCF of 738,138 as per the given fractions.

GCF of 738,138 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,17

LCM of Fractions 70/738,17/138 is 1190/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 1190

Least Common Multiple of 70,17 with GCF Formula

Least Common Multiple of 70,17 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 70,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,17) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(70,17) x common factors =1 x 1 = 1

LCM(70,17) = ( 70 × 17 ) / 1

LCM(70,17) = 1190 / 1

LCM(70,17) = 1190


Lets's calculate GCF of 738,138

2 738, 138
3 369, 69
123, 23

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1190/6

Therefore the LCM of Fractions 70/738,17/138 is 1190/6

Greatest Common Factor of 738,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,138 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 738,138 . The biggest common factor number is the GCF number.
So the greatest common factor 738,138 is 6.


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 70/738, 17/138

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 70/738, 17/138?

Answer: LCM of Numerators as per given numbers 70/738, 17/138 is

LCM of Numerators i.e. for 70,17 is 1190

GCF of denominators i.e. for 738,138 is 6.

Thus, LCM of Fractions is 1190/6.Finally, LCM of Fractions for 70/738, 17/138 is 1190/6.