Least Common Multiple of 700/226, 2396/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 700/226, 2396/286 quickly i.e. 209650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 700/226, 2396/286 is 209650.

LCM(700/226, 2396/286) = 209650

LCM of 700/226, 2396/286

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 700/226,2396/286

Given numbers are 700/226,2396/286

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 700,2396

Least Common Multiple of Numerators i.e. LCM of 700,2396 is 419300.

GCF of Denominators means GCF of 226,286 as per the given fractions.

GCF of 226,286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 700,2396

LCM of Fractions 700/226,2396/286 is 209650

2 700, 2396
2 350, 1198
175, 599

∴ So the LCM of the given numbers is 2 x 2 x 175 x 599 = 419300

Least Common Multiple of 700,2396 with GCF Formula

Least Common Multiple of 700,2396 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 700,2396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,2396) = 4

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

GCF(700,2396) x common factors =4 x 1 = 4

LCM(700,2396) = ( 700 × 2396 ) / 4

LCM(700,2396) = 1677200 / 4

LCM(700,2396) = 419300


Lets's calculate GCF of 226,286

2 226, 286
113, 143

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 419300/2

Therefore the LCM of Fractions 700/226,2396/286 is 209650

Greatest Common Factor of 226,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,286 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 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 226,286 . The biggest common factor number is the GCF number.
So the greatest common factor 226,286 is 2.


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 700/226, 2396/286

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 700/226, 2396/286?

Answer: LCM of Numerators as per given numbers 700/226, 2396/286 is

LCM of Numerators i.e. for 700,2396 is 419300

GCF of denominators i.e. for 226,286 is 2.

Thus, LCM of Fractions is 209650.Finally, LCM of Fractions for 700/226, 2396/286 is 209650.