Least Common Multiple of 548/87, 653/8300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 548/87, 653/8300 quickly i.e. 357844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 548/87, 653/8300 is 357844.

LCM(548/87, 653/8300) = 357844

LCM of 548/87, 653/8300

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 548/87,653/8300

Given numbers are 548/87,653/8300

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 548,653

Least Common Multiple of Numerators i.e. LCM of 548,653 is 357844.

GCF of Denominators means GCF of 87,8300 as per the given fractions.

GCF of 87,8300 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 548,653

LCM of Fractions 548/87,653/8300 is 357844

Given numbers has no common factors except 1. So, there LCM is their product i.e 357844

Least Common Multiple of 548,653 with GCF Formula

Least Common Multiple of 548,653 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 548,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,653) = 1

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

GCF(548,653) x common factors =1 x 1 = 1

LCM(548,653) = ( 548 × 653 ) / 1

LCM(548,653) = 357844 / 1

LCM(548,653) = 357844


Lets's calculate GCF of 87,8300

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 357844/1

Therefore the LCM of Fractions 548/87,653/8300 is 357844

Greatest Common Factor of 87,8300 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,8300 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 8300

List of positive integer factors of 8300 that divides 8300 without a remainder.

1,2,4,5,10,20,25,50,83,100,166,332,415,830,1660,2075,4150,8300

Greatest Common Factor

We found the factors 87,8300 . The biggest common factor number is the GCF number.
So the greatest common factor 87,8300 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 548/87, 653/8300

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 548/87, 653/8300?

Answer: LCM of Numerators as per given numbers 548/87, 653/8300 is

LCM of Numerators i.e. for 548,653 is 357844

GCF of denominators i.e. for 87,8300 is 1.

Thus, LCM of Fractions is 357844.Finally, LCM of Fractions for 548/87, 653/8300 is 357844.