Least Common Multiple of 69/949, 17/310, 389/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/949, 17/310, 389/423 quickly i.e. 456297 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/949, 17/310, 389/423 is 456297.

LCM(69/949, 17/310, 389/423) = 456297

LCM of 69/949, 17/310, 389/423

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 69/949,17/310,389/423

Given numbers are 69/949,17/310,389/423

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 69,17,389

Least Common Multiple of Numerators i.e. LCM of 69,17,389 is 456297.

GCF of Denominators means GCF of 949,310,423 as per the given fractions.

GCF of 949,310,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,17,389

LCM of Fractions 69/949,17/310,389/423 is 456297

Given numbers has no common factors except 1. So, there LCM is their product i.e 456297

Least Common Multiple of 69,17,389 with GCF Formula

Least Common Multiple of 69,17,389 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 69,17,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,17,389) = 1

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

GCF(69,17,389) x common factors =1 x 1 = 1

LCM(69,17,389) = ( 69 × 17 × 389 ) / 1

LCM(69,17,389) = 456297 / 1

LCM(69,17,389) = 456297


Lets's calculate GCF of 949,310,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 456297/1

Therefore the LCM of Fractions 69/949,17/310,389/423 is 456297

Greatest Common Factor of 949,310,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,310,423 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 949,310,423 . The biggest common factor number is the GCF number.
So the greatest common factor 949,310,423 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 69/949, 17/310, 389/423

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 69/949, 17/310, 389/423?

Answer: LCM of Numerators as per given numbers 69/949, 17/310, 389/423 is

LCM of Numerators i.e. for 69,17,389 is 456297

GCF of denominators i.e. for 949,310,423 is 1.

Thus, LCM of Fractions is 456297.Finally, LCM of Fractions for 69/949, 17/310, 389/423 is 456297.