Least Common Multiple of 546/76, 250/9670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/76, 250/9670 quickly i.e. 34125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/76, 250/9670 is 34125.

LCM(546/76, 250/9670) = 34125

LCM of 546/76, 250/9670

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 546/76,250/9670

Given numbers are 546/76,250/9670

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 546,250

Least Common Multiple of Numerators i.e. LCM of 546,250 is 68250.

GCF of Denominators means GCF of 76,9670 as per the given fractions.

GCF of 76,9670 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,250

LCM of Fractions 546/76,250/9670 is 34125

2 546, 250
273, 125

∴ So the LCM of the given numbers is 2 x 273 x 125 = 68250

Least Common Multiple of 546,250 with GCF Formula

Least Common Multiple of 546,250 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 546,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,250) = 2

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

GCF(546,250) x common factors =2 x 1 = 2

LCM(546,250) = ( 546 × 250 ) / 2

LCM(546,250) = 136500 / 2

LCM(546,250) = 68250


Lets's calculate GCF of 76,9670

2 76, 9670
38, 4835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68250/2

Therefore the LCM of Fractions 546/76,250/9670 is 34125

Greatest Common Factor of 76,9670 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,9670 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 9670

List of positive integer factors of 9670 that divides 9670 without a remainder.

1,2,5,10,967,1934,4835,9670

Greatest Common Factor

We found the factors 76,9670 . The biggest common factor number is the GCF number.
So the greatest common factor 76,9670 is 2.


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 546/76, 250/9670

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 546/76, 250/9670?

Answer: LCM of Numerators as per given numbers 546/76, 250/9670 is

LCM of Numerators i.e. for 546,250 is 68250

GCF of denominators i.e. for 76,9670 is 2.

Thus, LCM of Fractions is 34125.Finally, LCM of Fractions for 546/76, 250/9670 is 34125.