Least Common Multiple of 469/86, 497/98, 448/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/86, 497/98, 448/378 quickly i.e. 1065568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/86, 497/98, 448/378 is 1065568.

LCM(469/86, 497/98, 448/378) = 1065568

LCM of 469/86, 497/98, 448/378

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 469/86,497/98,448/378

Given numbers are 469/86,497/98,448/378

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 469,497,448

Least Common Multiple of Numerators i.e. LCM of 469,497,448 is 2131136.

GCF of Denominators means GCF of 86,98,378 as per the given fractions.

GCF of 86,98,378 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,497,448

LCM of Fractions 469/86,497/98,448/378 is 1065568

7 469, 497, 448
67, 71, 64

∴ So the LCM of the given numbers is 7 x 67 x 71 x 64 = 2131136

Least Common Multiple of 469,497,448 with GCF Formula

Least Common Multiple of 469,497,448 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 469,497,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,497,448) = 7

common factors(in case of two or more numbers have common factors) = 7

GCF(469,497,448) x common factors =7 x 7 = 49

LCM(469,497,448) = ( 469 × 497 × 448 ) / 49

LCM(469,497,448) = 104425664 / 49

LCM(469,497,448) = 2131136


Lets's calculate GCF of 86,98,378

2 86, 98, 378
43, 49, 189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2131136/2

Therefore the LCM of Fractions 469/86,497/98,448/378 is 1065568

Greatest Common Factor of 86,98,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,98,378 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 86,98,378 . The biggest common factor number is the GCF number.
So the greatest common factor 86,98,378 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 469/86, 497/98, 448/378

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 469/86, 497/98, 448/378?

Answer: LCM of Numerators as per given numbers 469/86, 497/98, 448/378 is

LCM of Numerators i.e. for 469,497,448 is 2131136

GCF of denominators i.e. for 86,98,378 is 2.

Thus, LCM of Fractions is 1065568.Finally, LCM of Fractions for 469/86, 497/98, 448/378 is 1065568.