Least Common Multiple of 670/302, 705/142, 868/583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 670/302, 705/142, 868/583 quickly i.e. 40999980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 670/302, 705/142, 868/583 is 40999980.

LCM(670/302, 705/142, 868/583) = 40999980

LCM of 670/302, 705/142, 868/583

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 670/302,705/142,868/583

Given numbers are 670/302,705/142,868/583

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 670,705,868

Least Common Multiple of Numerators i.e. LCM of 670,705,868 is 40999980.

GCF of Denominators means GCF of 302,142,583 as per the given fractions.

GCF of 302,142,583 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 670,705,868

LCM of Fractions 670/302,705/142,868/583 is 40999980

2 670, 705, 868
5 335, 705, 434
67, 141, 434

∴ So the LCM of the given numbers is 2 x 5 x 67 x 141 x 434 = 40999980

Least Common Multiple of 670,705,868 with GCF Formula

Least Common Multiple of 670,705,868 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 670,705,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,705,868) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(670,705,868) x common factors =1 x 10 = 10

LCM(670,705,868) = ( 670 × 705 × 868 ) / 10

LCM(670,705,868) = 409999800 / 10

LCM(670,705,868) = 40999980


Lets's calculate GCF of 302,142,583

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40999980/1

Therefore the LCM of Fractions 670/302,705/142,868/583 is 40999980

Greatest Common Factor of 302,142,583 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,142,583 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Greatest Common Factor

We found the factors 302,142,583 . The biggest common factor number is the GCF number.
So the greatest common factor 302,142,583 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 670/302, 705/142, 868/583

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 670/302, 705/142, 868/583?

Answer: LCM of Numerators as per given numbers 670/302, 705/142, 868/583 is

LCM of Numerators i.e. for 670,705,868 is 40999980

GCF of denominators i.e. for 302,142,583 is 1.

Thus, LCM of Fractions is 40999980.Finally, LCM of Fractions for 670/302, 705/142, 868/583 is 40999980.