Least Common Multiple of 3/70, 8/40, 7/69, 67/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/70, 8/40, 7/69, 67/713 quickly i.e. 11256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/70, 8/40, 7/69, 67/713 is 11256.

LCM(3/70, 8/40, 7/69, 67/713) = 11256

LCM of 3/70, 8/40, 7/69, 67/713

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 3/70,8/40,7/69,67/713

Given numbers are 3/70,8/40,7/69,67/713

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 3,8,7,67

Least Common Multiple of Numerators i.e. LCM of 3,8,7,67 is 11256.

GCF of Denominators means GCF of 70,40,69,713 as per the given fractions.

GCF of 70,40,69,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,8,7,67

LCM of Fractions 3/70,8/40,7/69,67/713 is 11256

Given numbers has no common factors except 1. So, there LCM is their product i.e 11256

Least Common Multiple of 3,8,7,67 with GCF Formula

Least Common Multiple of 3,8,7,67 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 3,8,7,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,8,7,67) = 1

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

GCF(3,8,7,67) x common factors =1 x 1 = 1

LCM(3,8,7,67) = ( 3 × 8 × 7 × 67 ) / 1

LCM(3,8,7,67) = 11256 / 1

LCM(3,8,7,67) = 11256


Lets's calculate GCF of 70,40,69,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11256/1

Therefore the LCM of Fractions 3/70,8/40,7/69,67/713 is 11256

Greatest Common Factor of 70,40,69,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,40,69,713 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 70,40,69,713 . The biggest common factor number is the GCF number.
So the greatest common factor 70,40,69,713 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 3/70, 8/40, 7/69, 67/713

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 3/70, 8/40, 7/69, 67/713?

Answer: LCM of Numerators as per given numbers 3/70, 8/40, 7/69, 67/713 is

LCM of Numerators i.e. for 3,8,7,67 is 11256

GCF of denominators i.e. for 70,40,69,713 is 1.

Thus, LCM of Fractions is 11256.Finally, LCM of Fractions for 3/70, 8/40, 7/69, 67/713 is 11256.