Least Common Multiple of 17/453, 95/435, 121/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 17/453, 95/435, 121/538 quickly i.e. 195415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/453, 95/435, 121/538 is 195415.

LCM(17/453, 95/435, 121/538) = 195415

LCM of 17/453, 95/435, 121/538

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 17/453,95/435,121/538

Given numbers are 17/453,95/435,121/538

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 17,95,121

Least Common Multiple of Numerators i.e. LCM of 17,95,121 is 195415.

GCF of Denominators means GCF of 453,435,538 as per the given fractions.

GCF of 453,435,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,95,121

LCM of Fractions 17/453,95/435,121/538 is 195415

Given numbers has no common factors except 1. So, there LCM is their product i.e 195415

Least Common Multiple of 17,95,121 with GCF Formula

Least Common Multiple of 17,95,121 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 17,95,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,95,121) = 1

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

GCF(17,95,121) x common factors =1 x 1 = 1

LCM(17,95,121) = ( 17 × 95 × 121 ) / 1

LCM(17,95,121) = 195415 / 1

LCM(17,95,121) = 195415


Lets's calculate GCF of 453,435,538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195415/1

Therefore the LCM of Fractions 17/453,95/435,121/538 is 195415

Greatest Common Factor of 453,435,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,435,538 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 453,435,538 . The biggest common factor number is the GCF number.
So the greatest common factor 453,435,538 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 17/453, 95/435, 121/538

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 17/453, 95/435, 121/538?

Answer: LCM of Numerators as per given numbers 17/453, 95/435, 121/538 is

LCM of Numerators i.e. for 17,95,121 is 195415

GCF of denominators i.e. for 453,435,538 is 1.

Thus, LCM of Fractions is 195415.Finally, LCM of Fractions for 17/453, 95/435, 121/538 is 195415.