Least Common Multiple of 329/58, 190/80, 949/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 329/58, 190/80, 949/560 quickly i.e. 29660995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 329/58, 190/80, 949/560 is 29660995.

LCM(329/58, 190/80, 949/560) = 29660995

LCM of 329/58, 190/80, 949/560

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 329/58,190/80,949/560

Given numbers are 329/58,190/80,949/560

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 329,190,949

Least Common Multiple of Numerators i.e. LCM of 329,190,949 is 59321990.

GCF of Denominators means GCF of 58,80,560 as per the given fractions.

GCF of 58,80,560 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 329,190,949

LCM of Fractions 329/58,190/80,949/560 is 29660995

Given numbers has no common factors except 1. So, there LCM is their product i.e 59321990

Least Common Multiple of 329,190,949 with GCF Formula

Least Common Multiple of 329,190,949 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 329,190,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,190,949) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(329,190,949) x common factors =1 x 1 = 1

LCM(329,190,949) = ( 329 × 190 × 949 ) / 1

LCM(329,190,949) = 59321990 / 1

LCM(329,190,949) = 59321990


Lets's calculate GCF of 58,80,560

2 58, 80, 560
29, 40, 280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59321990/2

Therefore the LCM of Fractions 329/58,190/80,949/560 is 29660995

Greatest Common Factor of 58,80,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,80,560 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 58,80,560 . The biggest common factor number is the GCF number.
So the greatest common factor 58,80,560 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 329/58, 190/80, 949/560

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 329/58, 190/80, 949/560?

Answer: LCM of Numerators as per given numbers 329/58, 190/80, 949/560 is

LCM of Numerators i.e. for 329,190,949 is 59321990

GCF of denominators i.e. for 58,80,560 is 2.

Thus, LCM of Fractions is 29660995.Finally, LCM of Fractions for 329/58, 190/80, 949/560 is 29660995.