Least Common Multiple of 500/67, 984/2670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/67, 984/2670 quickly i.e. 123000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/67, 984/2670 is 123000.

LCM(500/67, 984/2670) = 123000

LCM of 500/67, 984/2670

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 500/67,984/2670

Given numbers are 500/67,984/2670

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 500,984

Least Common Multiple of Numerators i.e. LCM of 500,984 is 123000.

GCF of Denominators means GCF of 67,2670 as per the given fractions.

GCF of 67,2670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,984

LCM of Fractions 500/67,984/2670 is 123000

2 500, 984
2 250, 492
125, 246

∴ So the LCM of the given numbers is 2 x 2 x 125 x 246 = 123000

Least Common Multiple of 500,984 with GCF Formula

Least Common Multiple of 500,984 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 500,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,984) = 4

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

GCF(500,984) x common factors =4 x 1 = 4

LCM(500,984) = ( 500 × 984 ) / 4

LCM(500,984) = 492000 / 4

LCM(500,984) = 123000


Lets's calculate GCF of 67,2670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123000/1

Therefore the LCM of Fractions 500/67,984/2670 is 123000

Greatest Common Factor of 67,2670 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,2670 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 2670

List of positive integer factors of 2670 that divides 2670 without a remainder.

1,2,3,5,6,10,15,30,89,178,267,445,534,890,1335,2670

Greatest Common Factor

We found the factors 67,2670 . The biggest common factor number is the GCF number.
So the greatest common factor 67,2670 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 500/67, 984/2670

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 500/67, 984/2670?

Answer: LCM of Numerators as per given numbers 500/67, 984/2670 is

LCM of Numerators i.e. for 500,984 is 123000

GCF of denominators i.e. for 67,2670 is 1.

Thus, LCM of Fractions is 123000.Finally, LCM of Fractions for 500/67, 984/2670 is 123000.