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LCM of 847, 609, 754, 707

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


Find the LCM of 847, 609, 754, 707 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 847, 609, 754, 707. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 847,609,754,707

Given numbers are 847,609,754,707

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

The LCM of 847,609,754,707 is 193507314.

Find LCM of 847,609,754,707 with Prime Factorization


7 847, 609, 754, 707
29 121, 87, 754, 101
121, 3, 26, 101

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

7 x 29 x 121 x 3 x 26 x 101 = 193507314

Therefore, the lowest common multiple of 847,609,754,707 is 193507314.

LCM Formula to Find Lowest Common Multiple of 847,609,754,707

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.

847 x 609 x 754 x 707 = 274973893194

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.

847 : 1, 7, 11, 77, 121, 847

609 : 1, 3, 7, 21, 29, 87, 203, 609

754 : 1, 2, 13, 26, 29, 58, 377, 754

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,609,754,707, is 1.

Now, the common factors can be found like this.

847:7x 11x 11

609:3x 7x 29

754:2x 13x 29

707:7x 101

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

7x 7x 29 = 1421

Therefore, the value for common factors is 1421.

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 = 274973893194/(1x1421)

LCM = 274973893194/1421

LCM = 193507314

Thus, we can understand that the LCM of 847,609,754,707 is 193507314.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 847, 609, 754, 707

1. What is the LCM of 847, 609, 754, 707?

Answer: LCM of 847, 609, 754, 707 is 193507314.

2. How to calculate the LCM of 847, 609, 754, 707?

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 847, 609, 754, 707.

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}.