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LCM of 705, 929, 556, 658

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


Find the LCM of 705, 929, 556, 658 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 705, 929, 556, 658. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 705,929,556,658

Given numbers are 705,929,556,658

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

The LCM of 705,929,556,658 is 2549045940.

Find LCM of 705,929,556,658 with Prime Factorization


2 705, 929, 556, 658
47 705, 929, 278, 329
15, 929, 278, 7

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

2 x 47 x 15 x 929 x 278 x 7 = 2549045940

Therefore, the lowest common multiple of 705,929,556,658 is 2549045940.

LCM Formula to Find Lowest Common Multiple of 705,929,556,658

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.

705 x 929 x 556 x 658 = 239610318360

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

929 : 1, 929

556 : 1, 2, 4, 139, 278, 556

658 : 1, 2, 7, 14, 47, 94, 329, 658

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,929,556,658, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

929:929

556:2x 2x 139

658:2x 7x 47

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

2x 47 = 94

Therefore, the value for common factors is 94.

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 = 239610318360/(1x94)

LCM = 239610318360/94

LCM = 2549045940

Thus, we can understand that the LCM of 705,929,556,658 is 2549045940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 705, 929, 556, 658

1. What is the LCM of 705, 929, 556, 658?

Answer: LCM of 705, 929, 556, 658 is 2549045940.

2. How to calculate the LCM of 705, 929, 556, 658?

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 705, 929, 556, 658.

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}.