Least Common Multiple of 82/238, 318/860, 537/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/238, 318/860, 537/670 quickly i.e. 1166901 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/238, 318/860, 537/670 is 1166901.

LCM(82/238, 318/860, 537/670) = 1166901

LCM of 82/238, 318/860, 537/670

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 82/238,318/860,537/670

Given numbers are 82/238,318/860,537/670

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 82,318,537

Least Common Multiple of Numerators i.e. LCM of 82,318,537 is 2333802.

GCF of Denominators means GCF of 238,860,670 as per the given fractions.

GCF of 238,860,670 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,318,537

LCM of Fractions 82/238,318/860,537/670 is 1166901

2 82, 318, 537
3 41, 159, 537
41, 53, 179

∴ So the LCM of the given numbers is 2 x 3 x 41 x 53 x 179 = 2333802

Least Common Multiple of 82,318,537 with GCF Formula

Least Common Multiple of 82,318,537 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 82,318,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,318,537) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(82,318,537) x common factors =1 x 6 = 6

LCM(82,318,537) = ( 82 × 318 × 537 ) / 6

LCM(82,318,537) = 14002812 / 6

LCM(82,318,537) = 2333802


Lets's calculate GCF of 238,860,670

2 238, 860, 670
119, 430, 335

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2333802/2

Therefore the LCM of Fractions 82/238,318/860,537/670 is 1166901

Greatest Common Factor of 238,860,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,860,670 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 238,860,670 . The biggest common factor number is the GCF number.
So the greatest common factor 238,860,670 is 2.


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 82/238, 318/860, 537/670

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 82/238, 318/860, 537/670?

Answer: LCM of Numerators as per given numbers 82/238, 318/860, 537/670 is

LCM of Numerators i.e. for 82,318,537 is 2333802

GCF of denominators i.e. for 238,860,670 is 2.

Thus, LCM of Fractions is 1166901.Finally, LCM of Fractions for 82/238, 318/860, 537/670 is 1166901.