LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 278, 393, 587, 587, 461

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 278, 393, 587, 587, 461 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 278, 393, 587, 587, 461. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 278,393,587,587,461

Given numbers are 278,393,587,587,461

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 278,393,587,587,461 is 29564897178.

Find LCM of 278,393,587,587,461 with Prime Factorization


587 278, 393, 587, 587, 461
278, 393, 1, 1, 461

Multiply the prime numbers at the bottom and the left side.

587 x 278 x 393 x 1 x 1 x 461 = 29564897178

Therefore, the lowest common multiple of 278,393,587,587,461 is 29564897178.

LCM Formula to Find Lowest Common Multiple of 278,393,587,587,461

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

278 x 393 x 587 x 587 x 461 = 17354594643486

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

278 : 1, 2, 139, 278

393 : 1, 3, 131, 393

587 : 1, 587

587 : 1, 587

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,393,587,587,461, is 1.

Now, the common factors can be found like this.

278:2x 139

393:3x 131

587:587

587:587

461:461

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

587 = 587

Therefore, the value for common factors is 587.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 17354594643486/(1x587)

LCM = 17354594643486/587

LCM = 29564897178

Thus, we can understand that the LCM of 278,393,587,587,461 is 29564897178.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 278, 393, 587, 587, 461

1. What is the LCM of 278, 393, 587, 587, 461?

Answer: LCM of 278, 393, 587, 587, 461 is 29564897178.

2. How to calculate the LCM of 278, 393, 587, 587, 461?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 278, 393, 587, 587, 461.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.