Least Common Multiple of 591/126, 709/898, 918/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 591/126, 709/898, 918/318 quickly i.e. 64109907 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 591/126, 709/898, 918/318 is 64109907.

LCM(591/126, 709/898, 918/318) = 64109907

LCM of 591/126, 709/898, 918/318

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 591/126,709/898,918/318

Given numbers are 591/126,709/898,918/318

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 591,709,918

Least Common Multiple of Numerators i.e. LCM of 591,709,918 is 128219814.

GCF of Denominators means GCF of 126,898,318 as per the given fractions.

GCF of 126,898,318 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 591,709,918

LCM of Fractions 591/126,709/898,918/318 is 64109907

3 591, 709, 918
197, 709, 306

∴ So the LCM of the given numbers is 3 x 197 x 709 x 306 = 128219814

Least Common Multiple of 591,709,918 with GCF Formula

Least Common Multiple of 591,709,918 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 591,709,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,709,918) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(591,709,918) x common factors =1 x 3 = 3

LCM(591,709,918) = ( 591 × 709 × 918 ) / 3

LCM(591,709,918) = 384659442 / 3

LCM(591,709,918) = 128219814


Lets's calculate GCF of 126,898,318

2 126, 898, 318
63, 449, 159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128219814/2

Therefore the LCM of Fractions 591/126,709/898,918/318 is 64109907

Greatest Common Factor of 126,898,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,898,318 By Matching Biggest Common Factor Method

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 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 126,898,318 . The biggest common factor number is the GCF number.
So the greatest common factor 126,898,318 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 591/126, 709/898, 918/318

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 591/126, 709/898, 918/318?

Answer: LCM of Numerators as per given numbers 591/126, 709/898, 918/318 is

LCM of Numerators i.e. for 591,709,918 is 128219814

GCF of denominators i.e. for 126,898,318 is 2.

Thus, LCM of Fractions is 64109907.Finally, LCM of Fractions for 591/126, 709/898, 918/318 is 64109907.