Least Common Multiple of 826/88, 224/24, 886/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 826/88, 224/24, 886/420 quickly i.e. 1463672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 826/88, 224/24, 886/420 is 1463672.

LCM(826/88, 224/24, 886/420) = 1463672

LCM of 826/88, 224/24, 886/420

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 826/88,224/24,886/420

Given numbers are 826/88,224/24,886/420

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 826,224,886

Least Common Multiple of Numerators i.e. LCM of 826,224,886 is 5854688.

GCF of Denominators means GCF of 88,24,420 as per the given fractions.

GCF of 88,24,420 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 826,224,886

LCM of Fractions 826/88,224/24,886/420 is 1463672

2 826, 224, 886
7 413, 112, 443
59, 16, 443

∴ So the LCM of the given numbers is 2 x 7 x 59 x 16 x 443 = 5854688

Least Common Multiple of 826,224,886 with GCF Formula

Least Common Multiple of 826,224,886 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 826,224,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,224,886) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(826,224,886) x common factors =2 x 14 = 28

LCM(826,224,886) = ( 826 × 224 × 886 ) / 28

LCM(826,224,886) = 163931264 / 28

LCM(826,224,886) = 5854688


Lets's calculate GCF of 88,24,420

2 88, 24, 420
2 44, 12, 210
22, 6, 105

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5854688/4

Therefore the LCM of Fractions 826/88,224/24,886/420 is 1463672

Greatest Common Factor of 88,24,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,24,420 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 88,24,420 . The biggest common factor number is the GCF number.
So the greatest common factor 88,24,420 is 4.


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 826/88, 224/24, 886/420

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 826/88, 224/24, 886/420?

Answer: LCM of Numerators as per given numbers 826/88, 224/24, 886/420 is

LCM of Numerators i.e. for 826,224,886 is 5854688

GCF of denominators i.e. for 88,24,420 is 4.

Thus, LCM of Fractions is 1463672.Finally, LCM of Fractions for 826/88, 224/24, 886/420 is 1463672.