Least Common Multiple of 7/205, 88/671, 37/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7/205, 88/671, 37/549 quickly i.e. 22792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/205, 88/671, 37/549 is 22792.

LCM(7/205, 88/671, 37/549) = 22792

LCM of 7/205, 88/671, 37/549

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 7/205,88/671,37/549

Given numbers are 7/205,88/671,37/549

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 7,88,37

Least Common Multiple of Numerators i.e. LCM of 7,88,37 is 22792.

GCF of Denominators means GCF of 205,671,549 as per the given fractions.

GCF of 205,671,549 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,88,37

LCM of Fractions 7/205,88/671,37/549 is 22792

Given numbers has no common factors except 1. So, there LCM is their product i.e 22792

Least Common Multiple of 7,88,37 with GCF Formula

Least Common Multiple of 7,88,37 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 7,88,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,88,37) = 1

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

GCF(7,88,37) x common factors =1 x 1 = 1

LCM(7,88,37) = ( 7 × 88 × 37 ) / 1

LCM(7,88,37) = 22792 / 1

LCM(7,88,37) = 22792


Lets's calculate GCF of 205,671,549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22792/1

Therefore the LCM of Fractions 7/205,88/671,37/549 is 22792

Greatest Common Factor of 205,671,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,671,549 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 205,671,549 . The biggest common factor number is the GCF number.
So the greatest common factor 205,671,549 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7/205, 88/671, 37/549

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 7/205, 88/671, 37/549?

Answer: LCM of Numerators as per given numbers 7/205, 88/671, 37/549 is

LCM of Numerators i.e. for 7,88,37 is 22792

GCF of denominators i.e. for 205,671,549 is 1.

Thus, LCM of Fractions is 22792.Finally, LCM of Fractions for 7/205, 88/671, 37/549 is 22792.