Least Common Multiple of 87/608, 34/734, 709/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/608, 34/734, 709/383 quickly i.e. 2097222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/608, 34/734, 709/383 is 2097222.

LCM(87/608, 34/734, 709/383) = 2097222

LCM of 87/608, 34/734, 709/383

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 87/608,34/734,709/383

Given numbers are 87/608,34/734,709/383

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 87,34,709

Least Common Multiple of Numerators i.e. LCM of 87,34,709 is 2097222.

GCF of Denominators means GCF of 608,734,383 as per the given fractions.

GCF of 608,734,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,34,709

LCM of Fractions 87/608,34/734,709/383 is 2097222

Given numbers has no common factors except 1. So, there LCM is their product i.e 2097222

Least Common Multiple of 87,34,709 with GCF Formula

Least Common Multiple of 87,34,709 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 87,34,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,34,709) = 1

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

GCF(87,34,709) x common factors =1 x 1 = 1

LCM(87,34,709) = ( 87 × 34 × 709 ) / 1

LCM(87,34,709) = 2097222 / 1

LCM(87,34,709) = 2097222


Lets's calculate GCF of 608,734,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2097222/1

Therefore the LCM of Fractions 87/608,34/734,709/383 is 2097222

Greatest Common Factor of 608,734,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,734,383 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 608,734,383 . The biggest common factor number is the GCF number.
So the greatest common factor 608,734,383 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 87/608, 34/734, 709/383

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 87/608, 34/734, 709/383?

Answer: LCM of Numerators as per given numbers 87/608, 34/734, 709/383 is

LCM of Numerators i.e. for 87,34,709 is 2097222

GCF of denominators i.e. for 608,734,383 is 1.

Thus, LCM of Fractions is 2097222.Finally, LCM of Fractions for 87/608, 34/734, 709/383 is 2097222.