Least Common Multiple of 265/85, 304/56, 830/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 265/85, 304/56, 830/606 quickly i.e. 6686480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 265/85, 304/56, 830/606 is 6686480.

LCM(265/85, 304/56, 830/606) = 6686480

LCM of 265/85, 304/56, 830/606

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 265/85,304/56,830/606

Given numbers are 265/85,304/56,830/606

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 265,304,830

Least Common Multiple of Numerators i.e. LCM of 265,304,830 is 6686480.

GCF of Denominators means GCF of 85,56,606 as per the given fractions.

GCF of 85,56,606 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 265,304,830

LCM of Fractions 265/85,304/56,830/606 is 6686480

2 265, 304, 830
5 265, 152, 415
53, 152, 83

∴ So the LCM of the given numbers is 2 x 5 x 53 x 152 x 83 = 6686480

Least Common Multiple of 265,304,830 with GCF Formula

Least Common Multiple of 265,304,830 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 265,304,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,304,830) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(265,304,830) x common factors =1 x 10 = 10

LCM(265,304,830) = ( 265 × 304 × 830 ) / 10

LCM(265,304,830) = 66864800 / 10

LCM(265,304,830) = 6686480


Lets's calculate GCF of 85,56,606

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6686480/1

Therefore the LCM of Fractions 265/85,304/56,830/606 is 6686480

Greatest Common Factor of 85,56,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,56,606 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 85,56,606 . The biggest common factor number is the GCF number.
So the greatest common factor 85,56,606 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 265/85, 304/56, 830/606

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 265/85, 304/56, 830/606?

Answer: LCM of Numerators as per given numbers 265/85, 304/56, 830/606 is

LCM of Numerators i.e. for 265,304,830 is 6686480

GCF of denominators i.e. for 85,56,606 is 1.

Thus, LCM of Fractions is 6686480.Finally, LCM of Fractions for 265/85, 304/56, 830/606 is 6686480.