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LCM of 714, 570, 988, 862

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


Find the LCM of 714, 570, 988, 862 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 714, 570, 988, 862. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 714,570,988,862

Given numbers are 714,570,988,862

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

The LCM of 714,570,988,862 is 760102980.

Find LCM of 714,570,988,862 with Prime Factorization


2 714, 570, 988, 862
3 357, 285, 494, 431
19 119, 95, 494, 431
119, 5, 26, 431

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

2 x 3 x 19 x 119 x 5 x 26 x 431 = 760102980

Therefore, the lowest common multiple of 714,570,988,862 is 760102980.

LCM Formula to Find Lowest Common Multiple of 714,570,988,862

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.

714 x 570 x 988 x 862 = 346606958880

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

862 : 1, 2, 431, 862

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,570,988,862, is 2.

Now, the common factors can be found like this.

714:2x 3x 7x 17

570:2x 3x 5x 19

988:2x 2x 13x 19

862:2x 431

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 3x 19 = 228

Therefore, the value for common factors is 228.

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 = 346606958880/(2x228)

LCM = 346606958880/456

LCM = 760102980

Thus, we can understand that the LCM of 714,570,988,862 is 760102980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 714, 570, 988, 862

1. What is the LCM of 714, 570, 988, 862?

Answer: LCM of 714, 570, 988, 862 is 760102980.

2. How to calculate the LCM of 714, 570, 988, 862?

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 714, 570, 988, 862.

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}.