Least Common Multiple of 4412/514, 7808/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4412/514, 7808/642 quickly i.e. 4306112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4412/514, 7808/642 is 4306112.

LCM(4412/514, 7808/642) = 4306112

LCM of 4412/514, 7808/642

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 4412/514,7808/642

Given numbers are 4412/514,7808/642

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 4412,7808

Least Common Multiple of Numerators i.e. LCM of 4412,7808 is 8612224.

GCF of Denominators means GCF of 514,642 as per the given fractions.

GCF of 514,642 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4412,7808

LCM of Fractions 4412/514,7808/642 is 4306112

2 4412, 7808
2 2206, 3904
1103, 1952

∴ So the LCM of the given numbers is 2 x 2 x 1103 x 1952 = 8612224

Least Common Multiple of 4412,7808 with GCF Formula

Least Common Multiple of 4412,7808 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 4412,7808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4412,7808) = 4

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

GCF(4412,7808) x common factors =4 x 1 = 4

LCM(4412,7808) = ( 4412 × 7808 ) / 4

LCM(4412,7808) = 34448896 / 4

LCM(4412,7808) = 8612224


Lets's calculate GCF of 514,642

2 514, 642
257, 321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8612224/2

Therefore the LCM of Fractions 4412/514,7808/642 is 4306112

Greatest Common Factor of 514,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,642 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 514,642 . The biggest common factor number is the GCF number.
So the greatest common factor 514,642 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 4412/514, 7808/642

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 4412/514, 7808/642?

Answer: LCM of Numerators as per given numbers 4412/514, 7808/642 is

LCM of Numerators i.e. for 4412,7808 is 8612224

GCF of denominators i.e. for 514,642 is 2.

Thus, LCM of Fractions is 4306112.Finally, LCM of Fractions for 4412/514, 7808/642 is 4306112.