Least Common Multiple of 849/38, 649/70, 838/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 849/38, 649/70, 838/417 quickly i.e. 461738838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/38, 649/70, 838/417 is 461738838.

LCM(849/38, 649/70, 838/417) = 461738838

LCM of 849/38, 649/70, 838/417

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 849/38,649/70,838/417

Given numbers are 849/38,649/70,838/417

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 849,649,838

Least Common Multiple of Numerators i.e. LCM of 849,649,838 is 461738838.

GCF of Denominators means GCF of 38,70,417 as per the given fractions.

GCF of 38,70,417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,649,838

LCM of Fractions 849/38,649/70,838/417 is 461738838

Given numbers has no common factors except 1. So, there LCM is their product i.e 461738838

Least Common Multiple of 849,649,838 with GCF Formula

Least Common Multiple of 849,649,838 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 849,649,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,649,838) = 1

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

GCF(849,649,838) x common factors =1 x 1 = 1

LCM(849,649,838) = ( 849 × 649 × 838 ) / 1

LCM(849,649,838) = 461738838 / 1

LCM(849,649,838) = 461738838


Lets's calculate GCF of 38,70,417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 461738838/1

Therefore the LCM of Fractions 849/38,649/70,838/417 is 461738838

Greatest Common Factor of 38,70,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,70,417 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

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 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 38,70,417 . The biggest common factor number is the GCF number.
So the greatest common factor 38,70,417 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 849/38, 649/70, 838/417

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 849/38, 649/70, 838/417?

Answer: LCM of Numerators as per given numbers 849/38, 649/70, 838/417 is

LCM of Numerators i.e. for 849,649,838 is 461738838

GCF of denominators i.e. for 38,70,417 is 1.

Thus, LCM of Fractions is 461738838.Finally, LCM of Fractions for 849/38, 649/70, 838/417 is 461738838.