Least Common Multiple of 67/469, 35/457, 766/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/469, 35/457, 766/349 quickly i.e. 1796270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/469, 35/457, 766/349 is 1796270.

LCM(67/469, 35/457, 766/349) = 1796270

LCM of 67/469, 35/457, 766/349

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 67/469,35/457,766/349

Given numbers are 67/469,35/457,766/349

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 67,35,766

Least Common Multiple of Numerators i.e. LCM of 67,35,766 is 1796270.

GCF of Denominators means GCF of 469,457,349 as per the given fractions.

GCF of 469,457,349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,35,766

LCM of Fractions 67/469,35/457,766/349 is 1796270

Given numbers has no common factors except 1. So, there LCM is their product i.e 1796270

Least Common Multiple of 67,35,766 with GCF Formula

Least Common Multiple of 67,35,766 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 67,35,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,35,766) = 1

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

GCF(67,35,766) x common factors =1 x 1 = 1

LCM(67,35,766) = ( 67 × 35 × 766 ) / 1

LCM(67,35,766) = 1796270 / 1

LCM(67,35,766) = 1796270


Lets's calculate GCF of 469,457,349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1796270/1

Therefore the LCM of Fractions 67/469,35/457,766/349 is 1796270

Greatest Common Factor of 469,457,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,457,349 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 469,457,349 . The biggest common factor number is the GCF number.
So the greatest common factor 469,457,349 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 67/469, 35/457, 766/349

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 67/469, 35/457, 766/349?

Answer: LCM of Numerators as per given numbers 67/469, 35/457, 766/349 is

LCM of Numerators i.e. for 67,35,766 is 1796270

GCF of denominators i.e. for 469,457,349 is 1.

Thus, LCM of Fractions is 1796270.Finally, LCM of Fractions for 67/469, 35/457, 766/349 is 1796270.