Least Common Multiple of 740/206, 385/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 740/206, 385/422 quickly i.e. 28490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 740/206, 385/422 is 28490.

LCM(740/206, 385/422) = 28490

LCM of 740/206, 385/422

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 740/206,385/422

Given numbers are 740/206,385/422

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 740,385

Least Common Multiple of Numerators i.e. LCM of 740,385 is 56980.

GCF of Denominators means GCF of 206,422 as per the given fractions.

GCF of 206,422 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 740,385

LCM of Fractions 740/206,385/422 is 28490

5 740, 385
148, 77

∴ So the LCM of the given numbers is 5 x 148 x 77 = 56980

Least Common Multiple of 740,385 with GCF Formula

Least Common Multiple of 740,385 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 740,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,385) = 5

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

GCF(740,385) x common factors =5 x 1 = 5

LCM(740,385) = ( 740 × 385 ) / 5

LCM(740,385) = 284900 / 5

LCM(740,385) = 56980


Lets's calculate GCF of 206,422

2 206, 422
103, 211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56980/2

Therefore the LCM of Fractions 740/206,385/422 is 28490

Greatest Common Factor of 206,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,422 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 206,422 . The biggest common factor number is the GCF number.
So the greatest common factor 206,422 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 740/206, 385/422

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 740/206, 385/422?

Answer: LCM of Numerators as per given numbers 740/206, 385/422 is

LCM of Numerators i.e. for 740,385 is 56980

GCF of denominators i.e. for 206,422 is 2.

Thus, LCM of Fractions is 28490.Finally, LCM of Fractions for 740/206, 385/422 is 28490.