Least Common Multiple of 46/59, 364/58, 757/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/59, 364/58, 757/383 quickly i.e. 6337604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/59, 364/58, 757/383 is 6337604.

LCM(46/59, 364/58, 757/383) = 6337604

LCM of 46/59, 364/58, 757/383

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 46/59,364/58,757/383

Given numbers are 46/59,364/58,757/383

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 46,364,757

Least Common Multiple of Numerators i.e. LCM of 46,364,757 is 6337604.

GCF of Denominators means GCF of 59,58,383 as per the given fractions.

GCF of 59,58,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,364,757

LCM of Fractions 46/59,364/58,757/383 is 6337604

2 46, 364, 757
23, 182, 757

∴ So the LCM of the given numbers is 2 x 23 x 182 x 757 = 6337604

Least Common Multiple of 46,364,757 with GCF Formula

Least Common Multiple of 46,364,757 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 46,364,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,364,757) = 1

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

GCF(46,364,757) x common factors =1 x 2 = 2

LCM(46,364,757) = ( 46 × 364 × 757 ) / 2

LCM(46,364,757) = 12675208 / 2

LCM(46,364,757) = 6337604


Lets's calculate GCF of 59,58,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6337604/1

Therefore the LCM of Fractions 46/59,364/58,757/383 is 6337604

Greatest Common Factor of 59,58,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,58,383 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 59,58,383 . The biggest common factor number is the GCF number.
So the greatest common factor 59,58,383 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 46/59, 364/58, 757/383

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 46/59, 364/58, 757/383?

Answer: LCM of Numerators as per given numbers 46/59, 364/58, 757/383 is

LCM of Numerators i.e. for 46,364,757 is 6337604

GCF of denominators i.e. for 59,58,383 is 1.

Thus, LCM of Fractions is 6337604.Finally, LCM of Fractions for 46/59, 364/58, 757/383 is 6337604.