Least Common Multiple of 440/703, 160/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 440/703, 160/690 quickly i.e. 1760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 440/703, 160/690 is 1760.

LCM(440/703, 160/690) = 1760

LCM of 440/703, 160/690

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 440/703,160/690

Given numbers are 440/703,160/690

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 440,160

Least Common Multiple of Numerators i.e. LCM of 440,160 is 1760.

GCF of Denominators means GCF of 703,690 as per the given fractions.

GCF of 703,690 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 440,160

LCM of Fractions 440/703,160/690 is 1760

2 440, 160
2 220, 80
2 110, 40
5 55, 20
11, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 4 = 1760

Least Common Multiple of 440,160 with GCF Formula

Least Common Multiple of 440,160 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 440,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,160) = 40

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

GCF(440,160) x common factors =40 x 1 = 40

LCM(440,160) = ( 440 × 160 ) / 40

LCM(440,160) = 70400 / 40

LCM(440,160) = 1760


Lets's calculate GCF of 703,690

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1760/1

Therefore the LCM of Fractions 440/703,160/690 is 1760

Greatest Common Factor of 703,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,690 By Matching Biggest Common Factor Method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 703,690 . The biggest common factor number is the GCF number.
So the greatest common factor 703,690 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 440/703, 160/690

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 440/703, 160/690?

Answer: LCM of Numerators as per given numbers 440/703, 160/690 is

LCM of Numerators i.e. for 440,160 is 1760

GCF of denominators i.e. for 703,690 is 1.

Thus, LCM of Fractions is 1760.Finally, LCM of Fractions for 440/703, 160/690 is 1760.