Least Common Multiple of 435/380, 396/534, 689/607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 435/380, 396/534, 689/607 quickly i.e. 39562380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 435/380, 396/534, 689/607 is 39562380.

LCM(435/380, 396/534, 689/607) = 39562380

LCM of 435/380, 396/534, 689/607

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 435/380,396/534,689/607

Given numbers are 435/380,396/534,689/607

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 435,396,689

Least Common Multiple of Numerators i.e. LCM of 435,396,689 is 39562380.

GCF of Denominators means GCF of 380,534,607 as per the given fractions.

GCF of 380,534,607 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 435,396,689

LCM of Fractions 435/380,396/534,689/607 is 39562380

3 435, 396, 689
145, 132, 689

∴ So the LCM of the given numbers is 3 x 145 x 132 x 689 = 39562380

Least Common Multiple of 435,396,689 with GCF Formula

Least Common Multiple of 435,396,689 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 435,396,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,396,689) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(435,396,689) x common factors =1 x 3 = 3

LCM(435,396,689) = ( 435 × 396 × 689 ) / 3

LCM(435,396,689) = 118687140 / 3

LCM(435,396,689) = 39562380


Lets's calculate GCF of 380,534,607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39562380/1

Therefore the LCM of Fractions 435/380,396/534,689/607 is 39562380

Greatest Common Factor of 380,534,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,534,607 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 380,534,607 . The biggest common factor number is the GCF number.
So the greatest common factor 380,534,607 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 435/380, 396/534, 689/607

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 435/380, 396/534, 689/607?

Answer: LCM of Numerators as per given numbers 435/380, 396/534, 689/607 is

LCM of Numerators i.e. for 435,396,689 is 39562380

GCF of denominators i.e. for 380,534,607 is 1.

Thus, LCM of Fractions is 39562380.Finally, LCM of Fractions for 435/380, 396/534, 689/607 is 39562380.