Least Common Multiple of 64/46, 676/49, 182/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/46, 676/49, 182/550 quickly i.e. 75712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/46, 676/49, 182/550 is 75712.

LCM(64/46, 676/49, 182/550) = 75712

LCM of 64/46, 676/49, 182/550

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 64/46,676/49,182/550

Given numbers are 64/46,676/49,182/550

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 64,676,182

Least Common Multiple of Numerators i.e. LCM of 64,676,182 is 75712.

GCF of Denominators means GCF of 46,49,550 as per the given fractions.

GCF of 46,49,550 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,676,182

LCM of Fractions 64/46,676/49,182/550 is 75712

2 64, 676, 182
2 32, 338, 91
13 16, 169, 91
16, 13, 7

∴ So the LCM of the given numbers is 2 x 2 x 13 x 16 x 13 x 7 = 75712

Least Common Multiple of 64,676,182 with GCF Formula

Least Common Multiple of 64,676,182 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 64,676,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,676,182) = 2

common factors(in case of two or more numbers have common factors) = 52

GCF(64,676,182) x common factors =2 x 52 = 104

LCM(64,676,182) = ( 64 × 676 × 182 ) / 104

LCM(64,676,182) = 7874048 / 104

LCM(64,676,182) = 75712


Lets's calculate GCF of 46,49,550

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75712/1

Therefore the LCM of Fractions 64/46,676/49,182/550 is 75712

Greatest Common Factor of 46,49,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,49,550 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 46,49,550 . The biggest common factor number is the GCF number.
So the greatest common factor 46,49,550 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 64/46, 676/49, 182/550

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 64/46, 676/49, 182/550?

Answer: LCM of Numerators as per given numbers 64/46, 676/49, 182/550 is

LCM of Numerators i.e. for 64,676,182 is 75712

GCF of denominators i.e. for 46,49,550 is 1.

Thus, LCM of Fractions is 75712.Finally, LCM of Fractions for 64/46, 676/49, 182/550 is 75712.