Least Common Multiple of 230/438, 922/126, 986/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 230/438, 922/126, 986/352 quickly i.e. 26136395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 230/438, 922/126, 986/352 is 26136395.

LCM(230/438, 922/126, 986/352) = 26136395

LCM of 230/438, 922/126, 986/352

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 230/438,922/126,986/352

Given numbers are 230/438,922/126,986/352

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 230,922,986

Least Common Multiple of Numerators i.e. LCM of 230,922,986 is 52272790.

GCF of Denominators means GCF of 438,126,352 as per the given fractions.

GCF of 438,126,352 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 230,922,986

LCM of Fractions 230/438,922/126,986/352 is 26136395

2 230, 922, 986
115, 461, 493

∴ So the LCM of the given numbers is 2 x 115 x 461 x 493 = 52272790

Least Common Multiple of 230,922,986 with GCF Formula

Least Common Multiple of 230,922,986 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 230,922,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,922,986) = 2

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

GCF(230,922,986) x common factors =2 x 2 = 4

LCM(230,922,986) = ( 230 × 922 × 986 ) / 4

LCM(230,922,986) = 209091160 / 4

LCM(230,922,986) = 52272790


Lets's calculate GCF of 438,126,352

2 438, 126, 352
219, 63, 176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52272790/2

Therefore the LCM of Fractions 230/438,922/126,986/352 is 26136395

Greatest Common Factor of 438,126,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,126,352 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 438,126,352 . The biggest common factor number is the GCF number.
So the greatest common factor 438,126,352 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 230/438, 922/126, 986/352

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 230/438, 922/126, 986/352?

Answer: LCM of Numerators as per given numbers 230/438, 922/126, 986/352 is

LCM of Numerators i.e. for 230,922,986 is 52272790

GCF of denominators i.e. for 438,126,352 is 2.

Thus, LCM of Fractions is 26136395.Finally, LCM of Fractions for 230/438, 922/126, 986/352 is 26136395.