Least Common Multiple of 42/64, 119/63, 688/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/64, 119/63, 688/224 quickly i.e. 245616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/64, 119/63, 688/224 is 245616.

LCM(42/64, 119/63, 688/224) = 245616

LCM of 42/64, 119/63, 688/224

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 42/64,119/63,688/224

Given numbers are 42/64,119/63,688/224

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 42,119,688

Least Common Multiple of Numerators i.e. LCM of 42,119,688 is 245616.

GCF of Denominators means GCF of 64,63,224 as per the given fractions.

GCF of 64,63,224 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,119,688

LCM of Fractions 42/64,119/63,688/224 is 245616

2 42, 119, 688
7 21, 119, 344
3, 17, 344

∴ So the LCM of the given numbers is 2 x 7 x 3 x 17 x 344 = 245616

Least Common Multiple of 42,119,688 with GCF Formula

Least Common Multiple of 42,119,688 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 42,119,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,119,688) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(42,119,688) x common factors =1 x 14 = 14

LCM(42,119,688) = ( 42 × 119 × 688 ) / 14

LCM(42,119,688) = 3438624 / 14

LCM(42,119,688) = 245616


Lets's calculate GCF of 64,63,224

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245616/1

Therefore the LCM of Fractions 42/64,119/63,688/224 is 245616

Greatest Common Factor of 64,63,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,63,224 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 64,63,224 . The biggest common factor number is the GCF number.
So the greatest common factor 64,63,224 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 42/64, 119/63, 688/224

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 42/64, 119/63, 688/224?

Answer: LCM of Numerators as per given numbers 42/64, 119/63, 688/224 is

LCM of Numerators i.e. for 42,119,688 is 245616

GCF of denominators i.e. for 64,63,224 is 1.

Thus, LCM of Fractions is 245616.Finally, LCM of Fractions for 42/64, 119/63, 688/224 is 245616.