Least Common Multiple of 607/19, 267/38, 429/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 607/19, 267/38, 429/769 quickly i.e. 23175867 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 607/19, 267/38, 429/769 is 23175867.

LCM(607/19, 267/38, 429/769) = 23175867

LCM of 607/19, 267/38, 429/769

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 607/19,267/38,429/769

Given numbers are 607/19,267/38,429/769

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 607,267,429

Least Common Multiple of Numerators i.e. LCM of 607,267,429 is 23175867.

GCF of Denominators means GCF of 19,38,769 as per the given fractions.

GCF of 19,38,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 607,267,429

LCM of Fractions 607/19,267/38,429/769 is 23175867

3 607, 267, 429
607, 89, 143

∴ So the LCM of the given numbers is 3 x 607 x 89 x 143 = 23175867

Least Common Multiple of 607,267,429 with GCF Formula

Least Common Multiple of 607,267,429 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 607,267,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,267,429) = 1

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

GCF(607,267,429) x common factors =1 x 3 = 3

LCM(607,267,429) = ( 607 × 267 × 429 ) / 3

LCM(607,267,429) = 69527601 / 3

LCM(607,267,429) = 23175867


Lets's calculate GCF of 19,38,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23175867/1

Therefore the LCM of Fractions 607/19,267/38,429/769 is 23175867

Greatest Common Factor of 19,38,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,38,769 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 19,38,769 . The biggest common factor number is the GCF number.
So the greatest common factor 19,38,769 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 607/19, 267/38, 429/769

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 607/19, 267/38, 429/769?

Answer: LCM of Numerators as per given numbers 607/19, 267/38, 429/769 is

LCM of Numerators i.e. for 607,267,429 is 23175867

GCF of denominators i.e. for 19,38,769 is 1.

Thus, LCM of Fractions is 23175867.Finally, LCM of Fractions for 607/19, 267/38, 429/769 is 23175867.