Least Common Multiple of 64/349, 242/688, 424/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/349, 242/688, 424/504 quickly i.e. 410432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/349, 242/688, 424/504 is 410432.

LCM(64/349, 242/688, 424/504) = 410432

LCM of 64/349, 242/688, 424/504

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 64/349,242/688,424/504

Given numbers are 64/349,242/688,424/504

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 64,242,424

Least Common Multiple of Numerators i.e. LCM of 64,242,424 is 410432.

GCF of Denominators means GCF of 349,688,504 as per the given fractions.

GCF of 349,688,504 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,242,424

LCM of Fractions 64/349,242/688,424/504 is 410432

2 64, 242, 424
2 32, 121, 212
2 16, 121, 106
8, 121, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 121 x 53 = 410432

Least Common Multiple of 64,242,424 with GCF Formula

Least Common Multiple of 64,242,424 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 64,242,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,242,424) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(64,242,424) x common factors =2 x 8 = 16

LCM(64,242,424) = ( 64 × 242 × 424 ) / 16

LCM(64,242,424) = 6566912 / 16

LCM(64,242,424) = 410432


Lets's calculate GCF of 349,688,504

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 410432/1

Therefore the LCM of Fractions 64/349,242/688,424/504 is 410432

Greatest Common Factor of 349,688,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,688,504 By Matching Biggest Common Factor Method

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 349,688,504 . The biggest common factor number is the GCF number.
So the greatest common factor 349,688,504 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 64/349, 242/688, 424/504

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 64/349, 242/688, 424/504?

Answer: LCM of Numerators as per given numbers 64/349, 242/688, 424/504 is

LCM of Numerators i.e. for 64,242,424 is 410432

GCF of denominators i.e. for 349,688,504 is 1.

Thus, LCM of Fractions is 410432.Finally, LCM of Fractions for 64/349, 242/688, 424/504 is 410432.