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LCM of 774, 370, 834, 999, 603

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


Find the LCM of 774, 370, 834, 999, 603 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 774, 370, 834, 999, 603. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 774,370,834,999,603

Given numbers are 774,370,834,999,603

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

The LCM of 774,370,834,999,603 is 4000585410.

Find LCM of 774,370,834,999,603 with Prime Factorization


2 774, 370, 834, 999, 603
3 387, 185, 417, 999, 603
3 129, 185, 139, 333, 201
37 43, 185, 139, 111, 67
43, 5, 139, 3, 67

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

2 x 3 x 3 x 37 x 43 x 5 x 139 x 3 x 67 = 4000585410

Therefore, the lowest common multiple of 774,370,834,999,603 is 4000585410.

LCM Formula to Find Lowest Common Multiple of 774,370,834,999,603

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.

774 x 370 x 834 x 999 x 603 = 143877053685240

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.

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

370 : 1, 2, 5, 10, 37, 74, 185, 370

834 : 1, 2, 3, 6, 139, 278, 417, 834

999 : 1, 3, 9, 27, 37, 111, 333, 999

603 : 1, 3, 9, 67, 201, 603

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,370,834,999,603, is 1.

Now, the common factors can be found like this.

774:2x 3x 3x 43

370:2x 5x 37

834:2x 3x 139

999:3x 3x 3x 37

603:3x 3x 67

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 3x 3x 3x 3x 37 = 35964

Therefore, the value for common factors is 35964.

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 = 143877053685240/(1x35964)

LCM = 143877053685240/35964

LCM = 4000585410

Thus, we can understand that the LCM of 774,370,834,999,603 is 4000585410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 774, 370, 834, 999, 603

1. What is the LCM of 774, 370, 834, 999, 603?

Answer: LCM of 774, 370, 834, 999, 603 is 4000585410.

2. How to calculate the LCM of 774, 370, 834, 999, 603?

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 774, 370, 834, 999, 603.

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}.