Least Common Multiple of 548/842, 6740/7095

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 548/842, 6740/7095 quickly i.e. 923380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 548/842, 6740/7095 is 923380.

LCM(548/842, 6740/7095) = 923380

LCM of 548/842, 6740/7095

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 548/842,6740/7095

Given numbers are 548/842,6740/7095

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 548,6740

Least Common Multiple of Numerators i.e. LCM of 548,6740 is 923380.

GCF of Denominators means GCF of 842,7095 as per the given fractions.

GCF of 842,7095 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 548,6740

LCM of Fractions 548/842,6740/7095 is 923380

2 548, 6740
2 274, 3370
137, 1685

∴ So the LCM of the given numbers is 2 x 2 x 137 x 1685 = 923380

Least Common Multiple of 548,6740 with GCF Formula

Least Common Multiple of 548,6740 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 548,6740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,6740) = 4

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

GCF(548,6740) x common factors =4 x 1 = 4

LCM(548,6740) = ( 548 × 6740 ) / 4

LCM(548,6740) = 3693520 / 4

LCM(548,6740) = 923380


Lets's calculate GCF of 842,7095

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 923380/1

Therefore the LCM of Fractions 548/842,6740/7095 is 923380

Greatest Common Factor of 842,7095 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,7095 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 7095

List of positive integer factors of 7095 that divides 7095 without a remainder.

1,3,5,11,15,33,43,55,129,165,215,473,645,1419,2365,7095

Greatest Common Factor

We found the factors 842,7095 . The biggest common factor number is the GCF number.
So the greatest common factor 842,7095 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 548/842, 6740/7095

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 548/842, 6740/7095?

Answer: LCM of Numerators as per given numbers 548/842, 6740/7095 is

LCM of Numerators i.e. for 548,6740 is 923380

GCF of denominators i.e. for 842,7095 is 1.

Thus, LCM of Fractions is 923380.Finally, LCM of Fractions for 548/842, 6740/7095 is 923380.