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LCM of 724, 706, 208, 149, 856

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


Find the LCM of 724, 706, 208, 149, 856 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 724, 706, 208, 149, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 724,706,208,149,856

Given numbers are 724,706,208,149,856

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

The LCM of 724,706,208,149,856 is 211878388592.

Find LCM of 724,706,208,149,856 with Prime Factorization


2 724, 706, 208, 149, 856
2 362, 353, 104, 149, 428
2 181, 353, 52, 149, 214
181, 353, 26, 149, 107

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

2 x 2 x 2 x 181 x 353 x 26 x 149 x 107 = 211878388592

Therefore, the lowest common multiple of 724,706,208,149,856 is 211878388592.

LCM Formula to Find Lowest Common Multiple of 724,706,208,149,856

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.

724 x 706 x 208 x 149 x 856 = 13560216869888

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.

724 : 1, 2, 4, 181, 362, 724

706 : 1, 2, 353, 706

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

149 : 1, 149

856 : 1, 2, 4, 8, 107, 214, 428, 856

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,706,208,149,856, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

706:2x 353

208:2x 2x 2x 2x 13

149:149

856:2x 2x 2x 107

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 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 13560216869888/(1x64)

LCM = 13560216869888/64

LCM = 211878388592

Thus, we can understand that the LCM of 724,706,208,149,856 is 211878388592.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 724, 706, 208, 149, 856

1. What is the LCM of 724, 706, 208, 149, 856?

Answer: LCM of 724, 706, 208, 149, 856 is 211878388592.

2. How to calculate the LCM of 724, 706, 208, 149, 856?

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 724, 706, 208, 149, 856.

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}.