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LCM of 761, 785, 862, 862

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


Find the LCM of 761, 785, 862, 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 761, 785, 862, 862. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 761,785,862,862

Given numbers are 761,785,862,862

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

The LCM of 761,785,862,862 is 514945870.

Find LCM of 761,785,862,862 with Prime Factorization


2 761, 785, 862, 862
431 761, 785, 431, 431
761, 785, 1, 1

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

2 x 431 x 761 x 785 x 1 x 1 = 514945870

Therefore, the lowest common multiple of 761,785,862,862 is 514945870.

LCM Formula to Find Lowest Common Multiple of 761,785,862,862

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.

761 x 785 x 862 x 862 = 443883339940

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.

761 : 1, 761

785 : 1, 5, 157, 785

862 : 1, 2, 431, 862

862 : 1, 2, 431, 862

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,785,862,862, is 1.

Now, the common factors can be found like this.

761:761

785:5x 157

862:2x 431

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 431 = 862

Therefore, the value for common factors is 862.

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 = 443883339940/(1x862)

LCM = 443883339940/862

LCM = 514945870

Thus, we can understand that the LCM of 761,785,862,862 is 514945870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 761, 785, 862, 862

1. What is the LCM of 761, 785, 862, 862?

Answer: LCM of 761, 785, 862, 862 is 514945870.

2. How to calculate the LCM of 761, 785, 862, 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 761, 785, 862, 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}.