Least Common Multiple of 58/248, 892/226, 908/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/248, 892/226, 908/533 quickly i.e. 5872036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/248, 892/226, 908/533 is 5872036.

LCM(58/248, 892/226, 908/533) = 5872036

LCM of 58/248, 892/226, 908/533

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 58/248,892/226,908/533

Given numbers are 58/248,892/226,908/533

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 58,892,908

Least Common Multiple of Numerators i.e. LCM of 58,892,908 is 5872036.

GCF of Denominators means GCF of 248,226,533 as per the given fractions.

GCF of 248,226,533 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,892,908

LCM of Fractions 58/248,892/226,908/533 is 5872036

2 58, 892, 908
2 29, 446, 454
29, 223, 227

∴ So the LCM of the given numbers is 2 x 2 x 29 x 223 x 227 = 5872036

Least Common Multiple of 58,892,908 with GCF Formula

Least Common Multiple of 58,892,908 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 58,892,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,892,908) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(58,892,908) x common factors =2 x 4 = 8

LCM(58,892,908) = ( 58 × 892 × 908 ) / 8

LCM(58,892,908) = 46976288 / 8

LCM(58,892,908) = 5872036


Lets's calculate GCF of 248,226,533

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5872036/1

Therefore the LCM of Fractions 58/248,892/226,908/533 is 5872036

Greatest Common Factor of 248,226,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,226,533 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Greatest Common Factor

We found the factors 248,226,533 . The biggest common factor number is the GCF number.
So the greatest common factor 248,226,533 is 1.


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 58/248, 892/226, 908/533

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 58/248, 892/226, 908/533?

Answer: LCM of Numerators as per given numbers 58/248, 892/226, 908/533 is

LCM of Numerators i.e. for 58,892,908 is 5872036

GCF of denominators i.e. for 248,226,533 is 1.

Thus, LCM of Fractions is 5872036.Finally, LCM of Fractions for 58/248, 892/226, 908/533 is 5872036.