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LCM of 278, 706, 772, 193

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


Find the LCM of 278, 706, 772, 193 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, 706, 772, 193. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 278,706,772,193

Given numbers are 278,706,772,193

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

The LCM of 278,706,772,193 is 37879724.

Find LCM of 278,706,772,193 with Prime Factorization


2 278, 706, 772, 193
193 139, 353, 386, 193
139, 353, 2, 1

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

2 x 193 x 139 x 353 x 2 x 1 = 37879724

Therefore, the lowest common multiple of 278,706,772,193 is 37879724.

LCM Formula to Find Lowest Common Multiple of 278,706,772,193

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 706 x 772 x 193 = 29243146928

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

706 : 1, 2, 353, 706

772 : 1, 2, 4, 193, 386, 772

193 : 1, 193

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,706,772,193, is 1.

Now, the common factors can be found like this.

278:2x 139

706:2x 353

772:2x 2x 193

193:193

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

2x 2x 193 = 772

Therefore, the value for common factors is 772.

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 = 29243146928/(1x772)

LCM = 29243146928/772

LCM = 37879724

Thus, we can understand that the LCM of 278,706,772,193 is 37879724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 278, 706, 772, 193

1. What is the LCM of 278, 706, 772, 193?

Answer: LCM of 278, 706, 772, 193 is 37879724.

2. How to calculate the LCM of 278, 706, 772, 193?

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, 706, 772, 193.

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}.