Least Common Multiple of 148/422, 612/559, 849/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 148/422, 612/559, 849/496 quickly i.e. 6408252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 148/422, 612/559, 849/496 is 6408252.

LCM(148/422, 612/559, 849/496) = 6408252

LCM of 148/422, 612/559, 849/496

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 148/422,612/559,849/496

Given numbers are 148/422,612/559,849/496

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 148,612,849

Least Common Multiple of Numerators i.e. LCM of 148,612,849 is 6408252.

GCF of Denominators means GCF of 422,559,496 as per the given fractions.

GCF of 422,559,496 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 148,612,849

LCM of Fractions 148/422,612/559,849/496 is 6408252

2 148, 612, 849
2 74, 306, 849
3 37, 153, 849
37, 51, 283

∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 51 x 283 = 6408252

Least Common Multiple of 148,612,849 with GCF Formula

Least Common Multiple of 148,612,849 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 148,612,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,612,849) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(148,612,849) x common factors =1 x 12 = 12

LCM(148,612,849) = ( 148 × 612 × 849 ) / 12

LCM(148,612,849) = 76899024 / 12

LCM(148,612,849) = 6408252


Lets's calculate GCF of 422,559,496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6408252/1

Therefore the LCM of Fractions 148/422,612/559,849/496 is 6408252

Greatest Common Factor of 422,559,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,559,496 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 422,559,496 . The biggest common factor number is the GCF number.
So the greatest common factor 422,559,496 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 148/422, 612/559, 849/496

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 148/422, 612/559, 849/496?

Answer: LCM of Numerators as per given numbers 148/422, 612/559, 849/496 is

LCM of Numerators i.e. for 148,612,849 is 6408252

GCF of denominators i.e. for 422,559,496 is 1.

Thus, LCM of Fractions is 6408252.Finally, LCM of Fractions for 148/422, 612/559, 849/496 is 6408252.