Least Common Multiple of 69/359, 599/264, 853/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/359, 599/264, 853/316 quickly i.e. 35255343 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/359, 599/264, 853/316 is 35255343.

LCM(69/359, 599/264, 853/316) = 35255343

LCM of 69/359, 599/264, 853/316

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 69/359,599/264,853/316

Given numbers are 69/359,599/264,853/316

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 69,599,853

Least Common Multiple of Numerators i.e. LCM of 69,599,853 is 35255343.

GCF of Denominators means GCF of 359,264,316 as per the given fractions.

GCF of 359,264,316 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,599,853

LCM of Fractions 69/359,599/264,853/316 is 35255343

Given numbers has no common factors except 1. So, there LCM is their product i.e 35255343

Least Common Multiple of 69,599,853 with GCF Formula

Least Common Multiple of 69,599,853 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 69,599,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,599,853) = 1

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

GCF(69,599,853) x common factors =1 x 1 = 1

LCM(69,599,853) = ( 69 × 599 × 853 ) / 1

LCM(69,599,853) = 35255343 / 1

LCM(69,599,853) = 35255343


Lets's calculate GCF of 359,264,316

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35255343/1

Therefore the LCM of Fractions 69/359,599/264,853/316 is 35255343

Greatest Common Factor of 359,264,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,264,316 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 359,264,316 . The biggest common factor number is the GCF number.
So the greatest common factor 359,264,316 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 69/359, 599/264, 853/316

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 69/359, 599/264, 853/316?

Answer: LCM of Numerators as per given numbers 69/359, 599/264, 853/316 is

LCM of Numerators i.e. for 69,599,853 is 35255343

GCF of denominators i.e. for 359,264,316 is 1.

Thus, LCM of Fractions is 35255343.Finally, LCM of Fractions for 69/359, 599/264, 853/316 is 35255343.