Least Common Multiple of 6800/935, 5185/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6800/935, 5185/617 quickly i.e. 414800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6800/935, 5185/617 is 414800.

LCM(6800/935, 5185/617) = 414800

LCM of 6800/935, 5185/617

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 6800/935,5185/617

Given numbers are 6800/935,5185/617

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 6800,5185

Least Common Multiple of Numerators i.e. LCM of 6800,5185 is 414800.

GCF of Denominators means GCF of 935,617 as per the given fractions.

GCF of 935,617 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6800,5185

LCM of Fractions 6800/935,5185/617 is 414800

5 6800, 5185
17 1360, 1037
80, 61

∴ So the LCM of the given numbers is 5 x 17 x 80 x 61 = 414800

Least Common Multiple of 6800,5185 with GCF Formula

Least Common Multiple of 6800,5185 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 6800,5185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6800,5185) = 85

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

GCF(6800,5185) x common factors =85 x 1 = 85

LCM(6800,5185) = ( 6800 × 5185 ) / 85

LCM(6800,5185) = 35258000 / 85

LCM(6800,5185) = 414800


Lets's calculate GCF of 935,617

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414800/1

Therefore the LCM of Fractions 6800/935,5185/617 is 414800

Greatest Common Factor of 935,617 By Matching Biggest Common Factor Method

Greatest Common Factor of 935,617 By Matching Biggest Common Factor Method

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Greatest Common Factor

We found the factors 935,617 . The biggest common factor number is the GCF number.
So the greatest common factor 935,617 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 6800/935, 5185/617

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 6800/935, 5185/617?

Answer: LCM of Numerators as per given numbers 6800/935, 5185/617 is

LCM of Numerators i.e. for 6800,5185 is 414800

GCF of denominators i.e. for 935,617 is 1.

Thus, LCM of Fractions is 414800.Finally, LCM of Fractions for 6800/935, 5185/617 is 414800.