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LCM of 571, 635, 802, 762

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


Find the LCM of 571, 635, 802, 762 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 571, 635, 802, 762. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 571,635,802,762

Given numbers are 571,635,802,762

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

The LCM of 571,635,802,762 is 872379510.

Find LCM of 571,635,802,762 with Prime Factorization


2 571, 635, 802, 762
127 571, 635, 401, 381
571, 5, 401, 3

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

2 x 127 x 571 x 5 x 401 x 3 = 872379510

Therefore, the lowest common multiple of 571,635,802,762 is 872379510.

LCM Formula to Find Lowest Common Multiple of 571,635,802,762

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.

571 x 635 x 802 x 762 = 221584395540

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.

571 : 1, 571

635 : 1, 5, 127, 635

802 : 1, 2, 401, 802

762 : 1, 2, 3, 6, 127, 254, 381, 762

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,635,802,762, is 1.

Now, the common factors can be found like this.

571:571

635:5x 127

802:2x 401

762:2x 3x 127

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

2x 127 = 254

Therefore, the value for common factors is 254.

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 = 221584395540/(1x254)

LCM = 221584395540/254

LCM = 872379510

Thus, we can understand that the LCM of 571,635,802,762 is 872379510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 571, 635, 802, 762

1. What is the LCM of 571, 635, 802, 762?

Answer: LCM of 571, 635, 802, 762 is 872379510.

2. How to calculate the LCM of 571, 635, 802, 762?

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 571, 635, 802, 762.

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}.