Least Common Multiple of 708/214, 765/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 708/214, 765/340 quickly i.e. 90270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 708/214, 765/340 is 90270.

LCM(708/214, 765/340) = 90270

LCM of 708/214, 765/340

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 708/214,765/340

Given numbers are 708/214,765/340

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 708,765

Least Common Multiple of Numerators i.e. LCM of 708,765 is 180540.

GCF of Denominators means GCF of 214,340 as per the given fractions.

GCF of 214,340 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 708,765

LCM of Fractions 708/214,765/340 is 90270

3 708, 765
236, 255

∴ So the LCM of the given numbers is 3 x 236 x 255 = 180540

Least Common Multiple of 708,765 with GCF Formula

Least Common Multiple of 708,765 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 708,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,765) = 3

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

GCF(708,765) x common factors =3 x 1 = 3

LCM(708,765) = ( 708 × 765 ) / 3

LCM(708,765) = 541620 / 3

LCM(708,765) = 180540


Lets's calculate GCF of 214,340

2 214, 340
107, 170

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180540/2

Therefore the LCM of Fractions 708/214,765/340 is 90270

Greatest Common Factor of 214,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,340 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 214,340 . The biggest common factor number is the GCF number.
So the greatest common factor 214,340 is 2.


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 708/214, 765/340

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 708/214, 765/340?

Answer: LCM of Numerators as per given numbers 708/214, 765/340 is

LCM of Numerators i.e. for 708,765 is 180540

GCF of denominators i.e. for 214,340 is 2.

Thus, LCM of Fractions is 90270.Finally, LCM of Fractions for 708/214, 765/340 is 90270.