Least Common Multiple of 706/40, 265/7270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 706/40, 265/7270 quickly i.e. 18709 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 706/40, 265/7270 is 18709.

LCM(706/40, 265/7270) = 18709

LCM of 706/40, 265/7270

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 706/40,265/7270

Given numbers are 706/40,265/7270

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 706,265

Least Common Multiple of Numerators i.e. LCM of 706,265 is 187090.

GCF of Denominators means GCF of 40,7270 as per the given fractions.

GCF of 40,7270 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 706,265

LCM of Fractions 706/40,265/7270 is 18709

Given numbers has no common factors except 1. So, there LCM is their product i.e 187090

Least Common Multiple of 706,265 with GCF Formula

Least Common Multiple of 706,265 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 706,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,265) = 1

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

GCF(706,265) x common factors =1 x 1 = 1

LCM(706,265) = ( 706 × 265 ) / 1

LCM(706,265) = 187090 / 1

LCM(706,265) = 187090


Lets's calculate GCF of 40,7270

2 40, 7270
5 20, 3635
4, 727

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187090/10

Therefore the LCM of Fractions 706/40,265/7270 is 18709

Greatest Common Factor of 40,7270 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,7270 By Matching Biggest Common Factor Method

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 7270

List of positive integer factors of 7270 that divides 7270 without a remainder.

1,2,5,10,727,1454,3635,7270

Greatest Common Factor

We found the factors 40,7270 . The biggest common factor number is the GCF number.
So the greatest common factor 40,7270 is 10.


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 706/40, 265/7270

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 706/40, 265/7270?

Answer: LCM of Numerators as per given numbers 706/40, 265/7270 is

LCM of Numerators i.e. for 706,265 is 187090

GCF of denominators i.e. for 40,7270 is 10.

Thus, LCM of Fractions is 18709.Finally, LCM of Fractions for 706/40, 265/7270 is 18709.