Least Common Multiple of 53/106, 98/544, 426/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/106, 98/544, 426/352 quickly i.e. 553161 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/106, 98/544, 426/352 is 553161.

LCM(53/106, 98/544, 426/352) = 553161

LCM of 53/106, 98/544, 426/352

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 53/106,98/544,426/352

Given numbers are 53/106,98/544,426/352

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 53,98,426

Least Common Multiple of Numerators i.e. LCM of 53,98,426 is 1106322.

GCF of Denominators means GCF of 106,544,352 as per the given fractions.

GCF of 106,544,352 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,98,426

LCM of Fractions 53/106,98/544,426/352 is 553161

2 53, 98, 426
53, 49, 213

∴ So the LCM of the given numbers is 2 x 53 x 49 x 213 = 1106322

Least Common Multiple of 53,98,426 with GCF Formula

Least Common Multiple of 53,98,426 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 53,98,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,98,426) = 1

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

GCF(53,98,426) x common factors =1 x 2 = 2

LCM(53,98,426) = ( 53 × 98 × 426 ) / 2

LCM(53,98,426) = 2212644 / 2

LCM(53,98,426) = 1106322


Lets's calculate GCF of 106,544,352

2 106, 544, 352
53, 272, 176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1106322/2

Therefore the LCM of Fractions 53/106,98/544,426/352 is 553161

Greatest Common Factor of 106,544,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,544,352 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

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 106,544,352 . The biggest common factor number is the GCF number.
So the greatest common factor 106,544,352 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 53/106, 98/544, 426/352

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 53/106, 98/544, 426/352?

Answer: LCM of Numerators as per given numbers 53/106, 98/544, 426/352 is

LCM of Numerators i.e. for 53,98,426 is 1106322

GCF of denominators i.e. for 106,544,352 is 2.

Thus, LCM of Fractions is 553161.Finally, LCM of Fractions for 53/106, 98/544, 426/352 is 553161.