Least Common Multiple of 435/695, 680/306, 441/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 435/695, 680/306, 441/279 quickly i.e. 8696520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 435/695, 680/306, 441/279 is 8696520.

LCM(435/695, 680/306, 441/279) = 8696520

LCM of 435/695, 680/306, 441/279

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 435/695,680/306,441/279

Given numbers are 435/695,680/306,441/279

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 435,680,441

Least Common Multiple of Numerators i.e. LCM of 435,680,441 is 8696520.

GCF of Denominators means GCF of 695,306,279 as per the given fractions.

GCF of 695,306,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 435,680,441

LCM of Fractions 435/695,680/306,441/279 is 8696520

3 435, 680, 441
5 145, 680, 147
29, 136, 147

∴ So the LCM of the given numbers is 3 x 5 x 29 x 136 x 147 = 8696520

Least Common Multiple of 435,680,441 with GCF Formula

Least Common Multiple of 435,680,441 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 435,680,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,680,441) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(435,680,441) x common factors =1 x 15 = 15

LCM(435,680,441) = ( 435 × 680 × 441 ) / 15

LCM(435,680,441) = 130447800 / 15

LCM(435,680,441) = 8696520


Lets's calculate GCF of 695,306,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8696520/1

Therefore the LCM of Fractions 435/695,680/306,441/279 is 8696520

Greatest Common Factor of 695,306,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 695,306,279 By Matching Biggest Common Factor Method

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 695,306,279 . The biggest common factor number is the GCF number.
So the greatest common factor 695,306,279 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 435/695, 680/306, 441/279

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 435/695, 680/306, 441/279?

Answer: LCM of Numerators as per given numbers 435/695, 680/306, 441/279 is

LCM of Numerators i.e. for 435,680,441 is 8696520

GCF of denominators i.e. for 695,306,279 is 1.

Thus, LCM of Fractions is 8696520.Finally, LCM of Fractions for 435/695, 680/306, 441/279 is 8696520.