Least Common Multiple of 48/542, 207/589, 532/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/542, 207/589, 532/674 quickly i.e. 440496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/542, 207/589, 532/674 is 440496.

LCM(48/542, 207/589, 532/674) = 440496

LCM of 48/542, 207/589, 532/674

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 48/542,207/589,532/674

Given numbers are 48/542,207/589,532/674

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 48,207,532

Least Common Multiple of Numerators i.e. LCM of 48,207,532 is 440496.

GCF of Denominators means GCF of 542,589,674 as per the given fractions.

GCF of 542,589,674 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,207,532

LCM of Fractions 48/542,207/589,532/674 is 440496

2 48, 207, 532
2 24, 207, 266
3 12, 207, 133
4, 69, 133

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 69 x 133 = 440496

Least Common Multiple of 48,207,532 with GCF Formula

Least Common Multiple of 48,207,532 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 48,207,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,207,532) = 1

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

GCF(48,207,532) x common factors =1 x 12 = 12

LCM(48,207,532) = ( 48 × 207 × 532 ) / 12

LCM(48,207,532) = 5285952 / 12

LCM(48,207,532) = 440496


Lets's calculate GCF of 542,589,674

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 440496/1

Therefore the LCM of Fractions 48/542,207/589,532/674 is 440496

Greatest Common Factor of 542,589,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,589,674 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 542,589,674 . The biggest common factor number is the GCF number.
So the greatest common factor 542,589,674 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 48/542, 207/589, 532/674

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 48/542, 207/589, 532/674?

Answer: LCM of Numerators as per given numbers 48/542, 207/589, 532/674 is

LCM of Numerators i.e. for 48,207,532 is 440496

GCF of denominators i.e. for 542,589,674 is 1.

Thus, LCM of Fractions is 440496.Finally, LCM of Fractions for 48/542, 207/589, 532/674 is 440496.