Least Common Multiple of 39/421, 740/785, 398/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/421, 740/785, 398/880 quickly i.e. 5743140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/421, 740/785, 398/880 is 5743140.

LCM(39/421, 740/785, 398/880) = 5743140

LCM of 39/421, 740/785, 398/880

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 39/421,740/785,398/880

Given numbers are 39/421,740/785,398/880

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 39,740,398

Least Common Multiple of Numerators i.e. LCM of 39,740,398 is 5743140.

GCF of Denominators means GCF of 421,785,880 as per the given fractions.

GCF of 421,785,880 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,740,398

LCM of Fractions 39/421,740/785,398/880 is 5743140

2 39, 740, 398
39, 370, 199

∴ So the LCM of the given numbers is 2 x 39 x 370 x 199 = 5743140

Least Common Multiple of 39,740,398 with GCF Formula

Least Common Multiple of 39,740,398 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 39,740,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,740,398) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(39,740,398) x common factors =1 x 2 = 2

LCM(39,740,398) = ( 39 × 740 × 398 ) / 2

LCM(39,740,398) = 11486280 / 2

LCM(39,740,398) = 5743140


Lets's calculate GCF of 421,785,880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5743140/1

Therefore the LCM of Fractions 39/421,740/785,398/880 is 5743140

Greatest Common Factor of 421,785,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,785,880 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 421,785,880 . The biggest common factor number is the GCF number.
So the greatest common factor 421,785,880 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 39/421, 740/785, 398/880

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 39/421, 740/785, 398/880?

Answer: LCM of Numerators as per given numbers 39/421, 740/785, 398/880 is

LCM of Numerators i.e. for 39,740,398 is 5743140

GCF of denominators i.e. for 421,785,880 is 1.

Thus, LCM of Fractions is 5743140.Finally, LCM of Fractions for 39/421, 740/785, 398/880 is 5743140.