Least Common Multiple of 152/592, 560/241, 980/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 152/592, 560/241, 980/590 quickly i.e. 74480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 152/592, 560/241, 980/590 is 74480.

LCM(152/592, 560/241, 980/590) = 74480

LCM of 152/592, 560/241, 980/590

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 152/592,560/241,980/590

Given numbers are 152/592,560/241,980/590

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 152,560,980

Least Common Multiple of Numerators i.e. LCM of 152,560,980 is 74480.

GCF of Denominators means GCF of 592,241,590 as per the given fractions.

GCF of 592,241,590 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 152,560,980

LCM of Fractions 152/592,560/241,980/590 is 74480

2 152, 560, 980
2 76, 280, 490
2 38, 140, 245
5 19, 70, 245
7 19, 14, 49
19, 2, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 19 x 2 x 7 = 74480

Least Common Multiple of 152,560,980 with GCF Formula

Least Common Multiple of 152,560,980 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 152,560,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,560,980) = 4

common factors(in case of two or more numbers have common factors) = 280

GCF(152,560,980) x common factors =4 x 280 = 1120

LCM(152,560,980) = ( 152 × 560 × 980 ) / 1120

LCM(152,560,980) = 83417600 / 1120

LCM(152,560,980) = 74480


Lets's calculate GCF of 592,241,590

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74480/1

Therefore the LCM of Fractions 152/592,560/241,980/590 is 74480

Greatest Common Factor of 592,241,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,241,590 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 592,241,590 . The biggest common factor number is the GCF number.
So the greatest common factor 592,241,590 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 152/592, 560/241, 980/590

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 152/592, 560/241, 980/590?

Answer: LCM of Numerators as per given numbers 152/592, 560/241, 980/590 is

LCM of Numerators i.e. for 152,560,980 is 74480

GCF of denominators i.e. for 592,241,590 is 1.

Thus, LCM of Fractions is 74480.Finally, LCM of Fractions for 152/592, 560/241, 980/590 is 74480.