Least Common Multiple of 80/510, 61/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/510, 61/950 quickly i.e. 488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/510, 61/950 is 488.

LCM(80/510, 61/950) = 488

LCM of 80/510, 61/950

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 80/510,61/950

Given numbers are 80/510,61/950

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 80,61

Least Common Multiple of Numerators i.e. LCM of 80,61 is 4880.

GCF of Denominators means GCF of 510,950 as per the given fractions.

GCF of 510,950 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,61

LCM of Fractions 80/510,61/950 is 488

Given numbers has no common factors except 1. So, there LCM is their product i.e 4880

Least Common Multiple of 80,61 with GCF Formula

Least Common Multiple of 80,61 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 80,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,61) = 1

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

GCF(80,61) x common factors =1 x 1 = 1

LCM(80,61) = ( 80 × 61 ) / 1

LCM(80,61) = 4880 / 1

LCM(80,61) = 4880


Lets's calculate GCF of 510,950

2 510, 950
5 255, 475
51, 95

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4880/10

Therefore the LCM of Fractions 80/510,61/950 is 488

Greatest Common Factor of 510,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,950 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 510,950 . The biggest common factor number is the GCF number.
So the greatest common factor 510,950 is 10.


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 80/510, 61/950

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 80/510, 61/950?

Answer: LCM of Numerators as per given numbers 80/510, 61/950 is

LCM of Numerators i.e. for 80,61 is 4880

GCF of denominators i.e. for 510,950 is 10.

Thus, LCM of Fractions is 488.Finally, LCM of Fractions for 80/510, 61/950 is 488.