Least Common Multiple of 918/200, 4862/3169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 918/200, 4862/3169 quickly i.e. 131274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 918/200, 4862/3169 is 131274.

LCM(918/200, 4862/3169) = 131274

LCM of 918/200, 4862/3169

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 918/200,4862/3169

Given numbers are 918/200,4862/3169

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 918,4862

Least Common Multiple of Numerators i.e. LCM of 918,4862 is 131274.

GCF of Denominators means GCF of 200,3169 as per the given fractions.

GCF of 200,3169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 918,4862

LCM of Fractions 918/200,4862/3169 is 131274

2 918, 4862
17 459, 2431
27, 143

∴ So the LCM of the given numbers is 2 x 17 x 27 x 143 = 131274

Least Common Multiple of 918,4862 with GCF Formula

Least Common Multiple of 918,4862 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 918,4862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,4862) = 34

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

GCF(918,4862) x common factors =34 x 1 = 34

LCM(918,4862) = ( 918 × 4862 ) / 34

LCM(918,4862) = 4463316 / 34

LCM(918,4862) = 131274


Lets's calculate GCF of 200,3169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131274/1

Therefore the LCM of Fractions 918/200,4862/3169 is 131274

Greatest Common Factor of 200,3169 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,3169 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 3169

List of positive integer factors of 3169 that divides 3169 without a remainder.

1,3169

Greatest Common Factor

We found the factors 200,3169 . The biggest common factor number is the GCF number.
So the greatest common factor 200,3169 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 918/200, 4862/3169

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 918/200, 4862/3169?

Answer: LCM of Numerators as per given numbers 918/200, 4862/3169 is

LCM of Numerators i.e. for 918,4862 is 131274

GCF of denominators i.e. for 200,3169 is 1.

Thus, LCM of Fractions is 131274.Finally, LCM of Fractions for 918/200, 4862/3169 is 131274.