Least Common Multiple of 546/78, 614/6969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/78, 614/6969 quickly i.e. 55874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/78, 614/6969 is 55874.

LCM(546/78, 614/6969) = 55874

LCM of 546/78, 614/6969

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 546/78,614/6969

Given numbers are 546/78,614/6969

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 546,614

Least Common Multiple of Numerators i.e. LCM of 546,614 is 167622.

GCF of Denominators means GCF of 78,6969 as per the given fractions.

GCF of 78,6969 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,614

LCM of Fractions 546/78,614/6969 is 55874

2 546, 614
273, 307

∴ So the LCM of the given numbers is 2 x 273 x 307 = 167622

Least Common Multiple of 546,614 with GCF Formula

Least Common Multiple of 546,614 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 546,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,614) = 2

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

GCF(546,614) x common factors =2 x 1 = 2

LCM(546,614) = ( 546 × 614 ) / 2

LCM(546,614) = 335244 / 2

LCM(546,614) = 167622


Lets's calculate GCF of 78,6969

3 78, 6969
26, 2323

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167622/3

Therefore the LCM of Fractions 546/78,614/6969 is 55874

Greatest Common Factor of 78,6969 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,6969 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 6969

List of positive integer factors of 6969 that divides 6969 without a remainder.

1,3,23,69,101,303,2323,6969

Greatest Common Factor

We found the factors 78,6969 . The biggest common factor number is the GCF number.
So the greatest common factor 78,6969 is 3.


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 546/78, 614/6969

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 546/78, 614/6969?

Answer: LCM of Numerators as per given numbers 546/78, 614/6969 is

LCM of Numerators i.e. for 546,614 is 167622

GCF of denominators i.e. for 78,6969 is 3.

Thus, LCM of Fractions is 55874.Finally, LCM of Fractions for 546/78, 614/6969 is 55874.