Least Common Multiple of 410/94, 683/13, 149/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 410/94, 683/13, 149/697 quickly i.e. 41724470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 410/94, 683/13, 149/697 is 41724470.

LCM(410/94, 683/13, 149/697) = 41724470

LCM of 410/94, 683/13, 149/697

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 410/94,683/13,149/697

Given numbers are 410/94,683/13,149/697

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 410,683,149

Least Common Multiple of Numerators i.e. LCM of 410,683,149 is 41724470.

GCF of Denominators means GCF of 94,13,697 as per the given fractions.

GCF of 94,13,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 410,683,149

LCM of Fractions 410/94,683/13,149/697 is 41724470

Given numbers has no common factors except 1. So, there LCM is their product i.e 41724470

Least Common Multiple of 410,683,149 with GCF Formula

Least Common Multiple of 410,683,149 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 410,683,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,683,149) = 1

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

GCF(410,683,149) x common factors =1 x 1 = 1

LCM(410,683,149) = ( 410 × 683 × 149 ) / 1

LCM(410,683,149) = 41724470 / 1

LCM(410,683,149) = 41724470


Lets's calculate GCF of 94,13,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41724470/1

Therefore the LCM of Fractions 410/94,683/13,149/697 is 41724470

Greatest Common Factor of 94,13,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,13,697 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 94,13,697 . The biggest common factor number is the GCF number.
So the greatest common factor 94,13,697 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 410/94, 683/13, 149/697

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 410/94, 683/13, 149/697?

Answer: LCM of Numerators as per given numbers 410/94, 683/13, 149/697 is

LCM of Numerators i.e. for 410,683,149 is 41724470

GCF of denominators i.e. for 94,13,697 is 1.

Thus, LCM of Fractions is 41724470.Finally, LCM of Fractions for 410/94, 683/13, 149/697 is 41724470.