Least Common Multiple of 974/28, 218/6434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 974/28, 218/6434 quickly i.e. 53083 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 974/28, 218/6434 is 53083.

LCM(974/28, 218/6434) = 53083

LCM of 974/28, 218/6434

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 974/28,218/6434

Given numbers are 974/28,218/6434

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 974,218

Least Common Multiple of Numerators i.e. LCM of 974,218 is 106166.

GCF of Denominators means GCF of 28,6434 as per the given fractions.

GCF of 28,6434 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 974,218

LCM of Fractions 974/28,218/6434 is 53083

2 974, 218
487, 109

∴ So the LCM of the given numbers is 2 x 487 x 109 = 106166

Least Common Multiple of 974,218 with GCF Formula

Least Common Multiple of 974,218 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 974,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,218) = 2

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

GCF(974,218) x common factors =2 x 1 = 2

LCM(974,218) = ( 974 × 218 ) / 2

LCM(974,218) = 212332 / 2

LCM(974,218) = 106166


Lets's calculate GCF of 28,6434

2 28, 6434
14, 3217

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106166/2

Therefore the LCM of Fractions 974/28,218/6434 is 53083

Greatest Common Factor of 28,6434 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,6434 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 6434

List of positive integer factors of 6434 that divides 6434 without a remainder.

1,2,3217,6434

Greatest Common Factor

We found the factors 28,6434 . The biggest common factor number is the GCF number.
So the greatest common factor 28,6434 is 2.


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 974/28, 218/6434

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 974/28, 218/6434?

Answer: LCM of Numerators as per given numbers 974/28, 218/6434 is

LCM of Numerators i.e. for 974,218 is 106166

GCF of denominators i.e. for 28,6434 is 2.

Thus, LCM of Fractions is 53083.Finally, LCM of Fractions for 974/28, 218/6434 is 53083.