Least Common Multiple of 17/88, 37/403, 245/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 17/88, 37/403, 245/190 quickly i.e. 154105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/88, 37/403, 245/190 is 154105.

LCM(17/88, 37/403, 245/190) = 154105

LCM of 17/88, 37/403, 245/190

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 17/88,37/403,245/190

Given numbers are 17/88,37/403,245/190

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 17,37,245

Least Common Multiple of Numerators i.e. LCM of 17,37,245 is 154105.

GCF of Denominators means GCF of 88,403,190 as per the given fractions.

GCF of 88,403,190 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,37,245

LCM of Fractions 17/88,37/403,245/190 is 154105

Given numbers has no common factors except 1. So, there LCM is their product i.e 154105

Least Common Multiple of 17,37,245 with GCF Formula

Least Common Multiple of 17,37,245 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 17,37,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,37,245) = 1

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

GCF(17,37,245) x common factors =1 x 1 = 1

LCM(17,37,245) = ( 17 × 37 × 245 ) / 1

LCM(17,37,245) = 154105 / 1

LCM(17,37,245) = 154105


Lets's calculate GCF of 88,403,190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154105/1

Therefore the LCM of Fractions 17/88,37/403,245/190 is 154105

Greatest Common Factor of 88,403,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,403,190 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 88,403,190 . The biggest common factor number is the GCF number.
So the greatest common factor 88,403,190 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 17/88, 37/403, 245/190

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 17/88, 37/403, 245/190?

Answer: LCM of Numerators as per given numbers 17/88, 37/403, 245/190 is

LCM of Numerators i.e. for 17,37,245 is 154105

GCF of denominators i.e. for 88,403,190 is 1.

Thus, LCM of Fractions is 154105.Finally, LCM of Fractions for 17/88, 37/403, 245/190 is 154105.