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LCM of 807, 989, 706, 692

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


Find the LCM of 807, 989, 706, 692 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 807, 989, 706, 692. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 807,989,706,692

Given numbers are 807,989,706,692

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

The LCM of 807,989,706,692 is 194962293948.

Find LCM of 807,989,706,692 with Prime Factorization


2 807, 989, 706, 692
807, 989, 353, 346

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

2 x 807 x 989 x 353 x 346 = 194962293948

Therefore, the lowest common multiple of 807,989,706,692 is 194962293948.

LCM Formula to Find Lowest Common Multiple of 807,989,706,692

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.

807 x 989 x 706 x 692 = 389924587896

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.

807 : 1, 3, 269, 807

989 : 1, 23, 43, 989

706 : 1, 2, 353, 706

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,989,706,692, is 1.

Now, the common factors can be found like this.

807:3x 269

989:23x 43

706:2x 353

692:2x 2x 173

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

2 = 2

Therefore, the value for common factors is 2.

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 = 389924587896/(1x2)

LCM = 389924587896/2

LCM = 194962293948

Thus, we can understand that the LCM of 807,989,706,692 is 194962293948.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 807, 989, 706, 692

1. What is the LCM of 807, 989, 706, 692?

Answer: LCM of 807, 989, 706, 692 is 194962293948.

2. How to calculate the LCM of 807, 989, 706, 692?

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 807, 989, 706, 692.

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}.