Least Common Multiple of 6835/385, 2350/2215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6835/385, 2350/2215 quickly i.e. 642490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6835/385, 2350/2215 is 642490.

LCM(6835/385, 2350/2215) = 642490

LCM of 6835/385, 2350/2215

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 6835/385,2350/2215

Given numbers are 6835/385,2350/2215

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 6835,2350

Least Common Multiple of Numerators i.e. LCM of 6835,2350 is 3212450.

GCF of Denominators means GCF of 385,2215 as per the given fractions.

GCF of 385,2215 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6835,2350

LCM of Fractions 6835/385,2350/2215 is 642490

5 6835, 2350
1367, 470

∴ So the LCM of the given numbers is 5 x 1367 x 470 = 3212450

Least Common Multiple of 6835,2350 with GCF Formula

Least Common Multiple of 6835,2350 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 6835,2350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6835,2350) = 5

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

GCF(6835,2350) x common factors =5 x 1 = 5

LCM(6835,2350) = ( 6835 × 2350 ) / 5

LCM(6835,2350) = 16062250 / 5

LCM(6835,2350) = 3212450


Lets's calculate GCF of 385,2215

5 385, 2215
77, 443

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3212450/5

Therefore the LCM of Fractions 6835/385,2350/2215 is 642490

Greatest Common Factor of 385,2215 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,2215 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 2215

List of positive integer factors of 2215 that divides 2215 without a remainder.

1,5,443,2215

Greatest Common Factor

We found the factors 385,2215 . The biggest common factor number is the GCF number.
So the greatest common factor 385,2215 is 5.


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 6835/385, 2350/2215

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 6835/385, 2350/2215?

Answer: LCM of Numerators as per given numbers 6835/385, 2350/2215 is

LCM of Numerators i.e. for 6835,2350 is 3212450

GCF of denominators i.e. for 385,2215 is 5.

Thus, LCM of Fractions is 642490.Finally, LCM of Fractions for 6835/385, 2350/2215 is 642490.