Least Common Multiple of 1580/258, 8043/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1580/258, 8043/980 quickly i.e. 6353970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1580/258, 8043/980 is 6353970.

LCM(1580/258, 8043/980) = 6353970

LCM of 1580/258, 8043/980

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 1580/258,8043/980

Given numbers are 1580/258,8043/980

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 1580,8043

Least Common Multiple of Numerators i.e. LCM of 1580,8043 is 12707940.

GCF of Denominators means GCF of 258,980 as per the given fractions.

GCF of 258,980 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1580,8043

LCM of Fractions 1580/258,8043/980 is 6353970

Given numbers has no common factors except 1. So, there LCM is their product i.e 12707940

Least Common Multiple of 1580,8043 with GCF Formula

Least Common Multiple of 1580,8043 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 1580,8043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1580,8043) = 1

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

GCF(1580,8043) x common factors =1 x 1 = 1

LCM(1580,8043) = ( 1580 × 8043 ) / 1

LCM(1580,8043) = 12707940 / 1

LCM(1580,8043) = 12707940


Lets's calculate GCF of 258,980

2 258, 980
129, 490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12707940/2

Therefore the LCM of Fractions 1580/258,8043/980 is 6353970

Greatest Common Factor of 258,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,980 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 258,980 . The biggest common factor number is the GCF number.
So the greatest common factor 258,980 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1580/258, 8043/980

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 1580/258, 8043/980?

Answer: LCM of Numerators as per given numbers 1580/258, 8043/980 is

LCM of Numerators i.e. for 1580,8043 is 12707940

GCF of denominators i.e. for 258,980 is 2.

Thus, LCM of Fractions is 6353970.Finally, LCM of Fractions for 1580/258, 8043/980 is 6353970.