Least Common Multiple of 82/174, 158/775, 603/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/174, 158/775, 603/359 quickly i.e. 3906234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/174, 158/775, 603/359 is 3906234.

LCM(82/174, 158/775, 603/359) = 3906234

LCM of 82/174, 158/775, 603/359

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 82/174,158/775,603/359

Given numbers are 82/174,158/775,603/359

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 82,158,603

Least Common Multiple of Numerators i.e. LCM of 82,158,603 is 3906234.

GCF of Denominators means GCF of 174,775,359 as per the given fractions.

GCF of 174,775,359 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,158,603

LCM of Fractions 82/174,158/775,603/359 is 3906234

2 82, 158, 603
41, 79, 603

∴ So the LCM of the given numbers is 2 x 41 x 79 x 603 = 3906234

Least Common Multiple of 82,158,603 with GCF Formula

Least Common Multiple of 82,158,603 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 82,158,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,158,603) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,158,603) x common factors =1 x 2 = 2

LCM(82,158,603) = ( 82 × 158 × 603 ) / 2

LCM(82,158,603) = 7812468 / 2

LCM(82,158,603) = 3906234


Lets's calculate GCF of 174,775,359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3906234/1

Therefore the LCM of Fractions 82/174,158/775,603/359 is 3906234

Greatest Common Factor of 174,775,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,775,359 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 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 174,775,359 . The biggest common factor number is the GCF number.
So the greatest common factor 174,775,359 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 82/174, 158/775, 603/359

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 82/174, 158/775, 603/359?

Answer: LCM of Numerators as per given numbers 82/174, 158/775, 603/359 is

LCM of Numerators i.e. for 82,158,603 is 3906234

GCF of denominators i.e. for 174,775,359 is 1.

Thus, LCM of Fractions is 3906234.Finally, LCM of Fractions for 82/174, 158/775, 603/359 is 3906234.