Least Common Multiple of 67/200, 65/914, 958/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/200, 65/914, 958/469 quickly i.e. 4172090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/200, 65/914, 958/469 is 4172090.

LCM(67/200, 65/914, 958/469) = 4172090

LCM of 67/200, 65/914, 958/469

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 67/200,65/914,958/469

Given numbers are 67/200,65/914,958/469

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 67,65,958

Least Common Multiple of Numerators i.e. LCM of 67,65,958 is 4172090.

GCF of Denominators means GCF of 200,914,469 as per the given fractions.

GCF of 200,914,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,65,958

LCM of Fractions 67/200,65/914,958/469 is 4172090

Given numbers has no common factors except 1. So, there LCM is their product i.e 4172090

Least Common Multiple of 67,65,958 with GCF Formula

Least Common Multiple of 67,65,958 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 67,65,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,65,958) = 1

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

GCF(67,65,958) x common factors =1 x 1 = 1

LCM(67,65,958) = ( 67 × 65 × 958 ) / 1

LCM(67,65,958) = 4172090 / 1

LCM(67,65,958) = 4172090


Lets's calculate GCF of 200,914,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4172090/1

Therefore the LCM of Fractions 67/200,65/914,958/469 is 4172090

Greatest Common Factor of 200,914,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,914,469 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 469

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

1,7,67,469

Greatest Common Factor

We found the factors 200,914,469 . The biggest common factor number is the GCF number.
So the greatest common factor 200,914,469 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 67/200, 65/914, 958/469

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 67/200, 65/914, 958/469?

Answer: LCM of Numerators as per given numbers 67/200, 65/914, 958/469 is

LCM of Numerators i.e. for 67,65,958 is 4172090

GCF of denominators i.e. for 200,914,469 is 1.

Thus, LCM of Fractions is 4172090.Finally, LCM of Fractions for 67/200, 65/914, 958/469 is 4172090.