Least Common Multiple of 802/226, 814/652, 889/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 802/226, 814/652, 889/659 quickly i.e. 290182046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/226, 814/652, 889/659 is 290182046.

LCM(802/226, 814/652, 889/659) = 290182046

LCM of 802/226, 814/652, 889/659

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 802/226,814/652,889/659

Given numbers are 802/226,814/652,889/659

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 802,814,889

Least Common Multiple of Numerators i.e. LCM of 802,814,889 is 290182046.

GCF of Denominators means GCF of 226,652,659 as per the given fractions.

GCF of 226,652,659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,814,889

LCM of Fractions 802/226,814/652,889/659 is 290182046

2 802, 814, 889
401, 407, 889

∴ So the LCM of the given numbers is 2 x 401 x 407 x 889 = 290182046

Least Common Multiple of 802,814,889 with GCF Formula

Least Common Multiple of 802,814,889 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 802,814,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,814,889) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(802,814,889) x common factors =1 x 2 = 2

LCM(802,814,889) = ( 802 × 814 × 889 ) / 2

LCM(802,814,889) = 580364092 / 2

LCM(802,814,889) = 290182046


Lets's calculate GCF of 226,652,659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290182046/1

Therefore the LCM of Fractions 802/226,814/652,889/659 is 290182046

Greatest Common Factor of 226,652,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,652,659 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 226,652,659 . The biggest common factor number is the GCF number.
So the greatest common factor 226,652,659 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 802/226, 814/652, 889/659

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 802/226, 814/652, 889/659?

Answer: LCM of Numerators as per given numbers 802/226, 814/652, 889/659 is

LCM of Numerators i.e. for 802,814,889 is 290182046

GCF of denominators i.e. for 226,652,659 is 1.

Thus, LCM of Fractions is 290182046.Finally, LCM of Fractions for 802/226, 814/652, 889/659 is 290182046.