Least Common Multiple of 656/423, 3146/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 656/423, 3146/705 quickly i.e. 1031888/141 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 656/423, 3146/705 is 1031888/141.

LCM(656/423, 3146/705) = 1031888/141

LCM of 656/423, 3146/705

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 656/423,3146/705

Given numbers are 656/423,3146/705

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 656,3146

Least Common Multiple of Numerators i.e. LCM of 656,3146 is 1031888.

GCF of Denominators means GCF of 423,705 as per the given fractions.

GCF of 423,705 is 141 as it is the largest common factor for these numbers.

Lets's calculate LCM of 656,3146

LCM of Fractions 656/423,3146/705 is 1031888/141

2 656, 3146
328, 1573

∴ So the LCM of the given numbers is 2 x 328 x 1573 = 1031888

Least Common Multiple of 656,3146 with GCF Formula

Least Common Multiple of 656,3146 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 656,3146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,3146) = 2

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

GCF(656,3146) x common factors =2 x 1 = 2

LCM(656,3146) = ( 656 × 3146 ) / 2

LCM(656,3146) = 2063776 / 2

LCM(656,3146) = 1031888


Lets's calculate GCF of 423,705

3 423, 705
47 141, 235
3, 5

∴ So the GCF of the given numbers is 3 x 47 = 141

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1031888/141

Therefore the LCM of Fractions 656/423,3146/705 is 1031888/141

Greatest Common Factor of 423,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,705 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 423,705 . The biggest common factor number is the GCF number.
So the greatest common factor 423,705 is 141.


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 656/423, 3146/705

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 656/423, 3146/705?

Answer: LCM of Numerators as per given numbers 656/423, 3146/705 is

LCM of Numerators i.e. for 656,3146 is 1031888

GCF of denominators i.e. for 423,705 is 141.

Thus, LCM of Fractions is 1031888/141.Finally, LCM of Fractions for 656/423, 3146/705 is 1031888/141.