Least Common Multiple of 8492/638, 3140/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8492/638, 3140/900 quickly i.e. 3333110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8492/638, 3140/900 is 3333110.

LCM(8492/638, 3140/900) = 3333110

LCM of 8492/638, 3140/900

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 8492/638,3140/900

Given numbers are 8492/638,3140/900

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 8492,3140

Least Common Multiple of Numerators i.e. LCM of 8492,3140 is 6666220.

GCF of Denominators means GCF of 638,900 as per the given fractions.

GCF of 638,900 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8492,3140

LCM of Fractions 8492/638,3140/900 is 3333110

2 8492, 3140
2 4246, 1570
2123, 785

∴ So the LCM of the given numbers is 2 x 2 x 2123 x 785 = 6666220

Least Common Multiple of 8492,3140 with GCF Formula

Least Common Multiple of 8492,3140 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 8492,3140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8492,3140) = 4

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

GCF(8492,3140) x common factors =4 x 1 = 4

LCM(8492,3140) = ( 8492 × 3140 ) / 4

LCM(8492,3140) = 26664880 / 4

LCM(8492,3140) = 6666220


Lets's calculate GCF of 638,900

2 638, 900
319, 450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6666220/2

Therefore the LCM of Fractions 8492/638,3140/900 is 3333110

Greatest Common Factor of 638,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,900 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 638,900 . The biggest common factor number is the GCF number.
So the greatest common factor 638,900 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 8492/638, 3140/900

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 8492/638, 3140/900?

Answer: LCM of Numerators as per given numbers 8492/638, 3140/900 is

LCM of Numerators i.e. for 8492,3140 is 6666220

GCF of denominators i.e. for 638,900 is 2.

Thus, LCM of Fractions is 3333110.Finally, LCM of Fractions for 8492/638, 3140/900 is 3333110.