Least Common Multiple of 42/712, 64/696, 655/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/712, 64/696, 655/229 quickly i.e. 880320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/712, 64/696, 655/229 is 880320.

LCM(42/712, 64/696, 655/229) = 880320

LCM of 42/712, 64/696, 655/229

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 42/712,64/696,655/229

Given numbers are 42/712,64/696,655/229

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 42,64,655

Least Common Multiple of Numerators i.e. LCM of 42,64,655 is 880320.

GCF of Denominators means GCF of 712,696,229 as per the given fractions.

GCF of 712,696,229 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,64,655

LCM of Fractions 42/712,64/696,655/229 is 880320

2 42, 64, 655
21, 32, 655

∴ So the LCM of the given numbers is 2 x 21 x 32 x 655 = 880320

Least Common Multiple of 42,64,655 with GCF Formula

Least Common Multiple of 42,64,655 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 42,64,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,64,655) = 1

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

GCF(42,64,655) x common factors =1 x 2 = 2

LCM(42,64,655) = ( 42 × 64 × 655 ) / 2

LCM(42,64,655) = 1760640 / 2

LCM(42,64,655) = 880320


Lets's calculate GCF of 712,696,229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 880320/1

Therefore the LCM of Fractions 42/712,64/696,655/229 is 880320

Greatest Common Factor of 712,696,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,696,229 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 712,696,229 . The biggest common factor number is the GCF number.
So the greatest common factor 712,696,229 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 42/712, 64/696, 655/229

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 42/712, 64/696, 655/229?

Answer: LCM of Numerators as per given numbers 42/712, 64/696, 655/229 is

LCM of Numerators i.e. for 42,64,655 is 880320

GCF of denominators i.e. for 712,696,229 is 1.

Thus, LCM of Fractions is 880320.Finally, LCM of Fractions for 42/712, 64/696, 655/229 is 880320.