Least Common Multiple of 7153/500, 1810/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7153/500, 1810/120 quickly i.e. 12946930/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7153/500, 1810/120 is 12946930/20.

LCM(7153/500, 1810/120) = 12946930/20

LCM of 7153/500, 1810/120

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 7153/500,1810/120

Given numbers are 7153/500,1810/120

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 7153,1810

Least Common Multiple of Numerators i.e. LCM of 7153,1810 is 12946930.

GCF of Denominators means GCF of 500,120 as per the given fractions.

GCF of 500,120 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7153,1810

LCM of Fractions 7153/500,1810/120 is 12946930/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 12946930

Least Common Multiple of 7153,1810 with GCF Formula

Least Common Multiple of 7153,1810 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 7153,1810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7153,1810) = 1

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

GCF(7153,1810) x common factors =1 x 1 = 1

LCM(7153,1810) = ( 7153 × 1810 ) / 1

LCM(7153,1810) = 12946930 / 1

LCM(7153,1810) = 12946930


Lets's calculate GCF of 500,120

2 500, 120
2 250, 60
5 125, 30
25, 6

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12946930/20

Therefore the LCM of Fractions 7153/500,1810/120 is 12946930/20

Greatest Common Factor of 500,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,120 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 500,120 . The biggest common factor number is the GCF number.
So the greatest common factor 500,120 is 20.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7153/500, 1810/120

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 7153/500, 1810/120?

Answer: LCM of Numerators as per given numbers 7153/500, 1810/120 is

LCM of Numerators i.e. for 7153,1810 is 12946930

GCF of denominators i.e. for 500,120 is 20.

Thus, LCM of Fractions is 12946930/20.Finally, LCM of Fractions for 7153/500, 1810/120 is 12946930/20.