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LCM of 702, 526, 263, 643

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


Find the LCM of 702, 526, 263, 643 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 702, 526, 263, 643. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 702,526,263,643

Given numbers are 702,526,263,643

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

The LCM of 702,526,263,643 is 118714518.

Find LCM of 702,526,263,643 with Prime Factorization


2 702, 526, 263, 643
263 351, 263, 263, 643
351, 1, 1, 643

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

2 x 263 x 351 x 1 x 1 x 643 = 118714518

Therefore, the lowest common multiple of 702,526,263,643 is 118714518.

LCM Formula to Find Lowest Common Multiple of 702,526,263,643

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.

702 x 526 x 263 x 643 = 62443836468

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

526 : 1, 2, 263, 526

263 : 1, 263

643 : 1, 643

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,526,263,643, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

526:2x 263

263:263

643:643

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

2x 263 = 526

Therefore, the value for common factors is 526.

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 = 62443836468/(1x526)

LCM = 62443836468/526

LCM = 118714518

Thus, we can understand that the LCM of 702,526,263,643 is 118714518.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 702, 526, 263, 643

1. What is the LCM of 702, 526, 263, 643?

Answer: LCM of 702, 526, 263, 643 is 118714518.

2. How to calculate the LCM of 702, 526, 263, 643?

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 702, 526, 263, 643.

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}.