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LCM of 701, 565, 771, 986, 426

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


Find the LCM of 701, 565, 771, 986, 426 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 701, 565, 771, 986, 426. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 701,565,771,986,426

Given numbers are 701,565,771,986,426

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

The LCM of 701,565,771,986,426 is 21377460246690.

Find LCM of 701,565,771,986,426 with Prime Factorization


2 701, 565, 771, 986, 426
3 701, 565, 771, 493, 213
701, 565, 257, 493, 71

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

2 x 3 x 701 x 565 x 257 x 493 x 71 = 21377460246690

Therefore, the lowest common multiple of 701,565,771,986,426 is 21377460246690.

LCM Formula to Find Lowest Common Multiple of 701,565,771,986,426

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.

701 x 565 x 771 x 986 x 426 = 128264761480140

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.

701 : 1, 701

565 : 1, 5, 113, 565

771 : 1, 3, 257, 771

986 : 1, 2, 17, 29, 34, 58, 493, 986

426 : 1, 2, 3, 6, 71, 142, 213, 426

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,565,771,986,426, is 1.

Now, the common factors can be found like this.

701:701

565:5x 113

771:3x 257

986:2x 17x 29

426:2x 3x 71

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 128264761480140/(1x6)

LCM = 128264761480140/6

LCM = 21377460246690

Thus, we can understand that the LCM of 701,565,771,986,426 is 21377460246690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 701, 565, 771, 986, 426

1. What is the LCM of 701, 565, 771, 986, 426?

Answer: LCM of 701, 565, 771, 986, 426 is 21377460246690.

2. How to calculate the LCM of 701, 565, 771, 986, 426?

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 701, 565, 771, 986, 426.

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}.