Least Common Multiple of 65/416, 76/774, 596/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/416, 76/774, 596/206 quickly i.e. 368030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/416, 76/774, 596/206 is 368030.

LCM(65/416, 76/774, 596/206) = 368030

LCM of 65/416, 76/774, 596/206

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 65/416,76/774,596/206

Given numbers are 65/416,76/774,596/206

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 65,76,596

Least Common Multiple of Numerators i.e. LCM of 65,76,596 is 736060.

GCF of Denominators means GCF of 416,774,206 as per the given fractions.

GCF of 416,774,206 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,76,596

LCM of Fractions 65/416,76/774,596/206 is 368030

2 65, 76, 596
2 65, 38, 298
65, 19, 149

∴ So the LCM of the given numbers is 2 x 2 x 65 x 19 x 149 = 736060

Least Common Multiple of 65,76,596 with GCF Formula

Least Common Multiple of 65,76,596 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 65,76,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,76,596) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(65,76,596) x common factors =1 x 4 = 4

LCM(65,76,596) = ( 65 × 76 × 596 ) / 4

LCM(65,76,596) = 2944240 / 4

LCM(65,76,596) = 736060


Lets's calculate GCF of 416,774,206

2 416, 774, 206
208, 387, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 736060/2

Therefore the LCM of Fractions 65/416,76/774,596/206 is 368030

Greatest Common Factor of 416,774,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,774,206 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 206

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

1,2,103,206

Greatest Common Factor

We found the factors 416,774,206 . The biggest common factor number is the GCF number.
So the greatest common factor 416,774,206 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 65/416, 76/774, 596/206

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 65/416, 76/774, 596/206?

Answer: LCM of Numerators as per given numbers 65/416, 76/774, 596/206 is

LCM of Numerators i.e. for 65,76,596 is 736060

GCF of denominators i.e. for 416,774,206 is 2.

Thus, LCM of Fractions is 368030.Finally, LCM of Fractions for 65/416, 76/774, 596/206 is 368030.