Least Common Multiple of 93/174, 132/765, 508/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 93/174, 132/765, 508/899 quickly i.e. 519684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/174, 132/765, 508/899 is 519684.

LCM(93/174, 132/765, 508/899) = 519684

LCM of 93/174, 132/765, 508/899

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 93/174,132/765,508/899

Given numbers are 93/174,132/765,508/899

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 93,132,508

Least Common Multiple of Numerators i.e. LCM of 93,132,508 is 519684.

GCF of Denominators means GCF of 174,765,899 as per the given fractions.

GCF of 174,765,899 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,132,508

LCM of Fractions 93/174,132/765,508/899 is 519684

2 93, 132, 508
2 93, 66, 254
3 93, 33, 127
31, 11, 127

∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 11 x 127 = 519684

Least Common Multiple of 93,132,508 with GCF Formula

Least Common Multiple of 93,132,508 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 93,132,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,132,508) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(93,132,508) x common factors =1 x 12 = 12

LCM(93,132,508) = ( 93 × 132 × 508 ) / 12

LCM(93,132,508) = 6236208 / 12

LCM(93,132,508) = 519684


Lets's calculate GCF of 174,765,899

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 519684/1

Therefore the LCM of Fractions 93/174,132/765,508/899 is 519684

Greatest Common Factor of 174,765,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,765,899 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 174,765,899 . The biggest common factor number is the GCF number.
So the greatest common factor 174,765,899 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 93/174, 132/765, 508/899

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 93/174, 132/765, 508/899?

Answer: LCM of Numerators as per given numbers 93/174, 132/765, 508/899 is

LCM of Numerators i.e. for 93,132,508 is 519684

GCF of denominators i.e. for 174,765,899 is 1.

Thus, LCM of Fractions is 519684.Finally, LCM of Fractions for 93/174, 132/765, 508/899 is 519684.