Least Common Multiple of 4654/428, 7800/8934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4654/428, 7800/8934 quickly i.e. 698100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4654/428, 7800/8934 is 698100.

LCM(4654/428, 7800/8934) = 698100

LCM of 4654/428, 7800/8934

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 4654/428,7800/8934

Given numbers are 4654/428,7800/8934

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 4654,7800

Least Common Multiple of Numerators i.e. LCM of 4654,7800 is 1396200.

GCF of Denominators means GCF of 428,8934 as per the given fractions.

GCF of 428,8934 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4654,7800

LCM of Fractions 4654/428,7800/8934 is 698100

2 4654, 7800
13 2327, 3900
179, 300

∴ So the LCM of the given numbers is 2 x 13 x 179 x 300 = 1396200

Least Common Multiple of 4654,7800 with GCF Formula

Least Common Multiple of 4654,7800 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 4654,7800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4654,7800) = 26

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

GCF(4654,7800) x common factors =26 x 1 = 26

LCM(4654,7800) = ( 4654 × 7800 ) / 26

LCM(4654,7800) = 36301200 / 26

LCM(4654,7800) = 1396200


Lets's calculate GCF of 428,8934

2 428, 8934
214, 4467

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1396200/2

Therefore the LCM of Fractions 4654/428,7800/8934 is 698100

Greatest Common Factor of 428,8934 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,8934 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 8934

List of positive integer factors of 8934 that divides 8934 without a remainder.

1,2,3,6,1489,2978,4467,8934

Greatest Common Factor

We found the factors 428,8934 . The biggest common factor number is the GCF number.
So the greatest common factor 428,8934 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 4654/428, 7800/8934

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 4654/428, 7800/8934?

Answer: LCM of Numerators as per given numbers 4654/428, 7800/8934 is

LCM of Numerators i.e. for 4654,7800 is 1396200

GCF of denominators i.e. for 428,8934 is 2.

Thus, LCM of Fractions is 698100.Finally, LCM of Fractions for 4654/428, 7800/8934 is 698100.