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LCM of 803, 334, 770, 684

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


Find the LCM of 803, 334, 770, 684 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 803, 334, 770, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 803,334,770,684

Given numbers are 803,334,770,684

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

The LCM of 803,334,770,684 is 3210377940.

Find LCM of 803,334,770,684 with Prime Factorization


2 803, 334, 770, 684
11 803, 167, 385, 342
73, 167, 35, 342

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

2 x 11 x 73 x 167 x 35 x 342 = 3210377940

Therefore, the lowest common multiple of 803,334,770,684 is 3210377940.

LCM Formula to Find Lowest Common Multiple of 803,334,770,684

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.

803 x 334 x 770 x 684 = 141256629360

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.

803 : 1, 11, 73, 803

334 : 1, 2, 167, 334

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,334,770,684, is 1.

Now, the common factors can be found like this.

803:11x 73

334:2x 167

770:2x 5x 7x 11

684:2x 2x 3x 3x 19

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 11 = 44

Therefore, the value for common factors is 44.

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 = 141256629360/(1x44)

LCM = 141256629360/44

LCM = 3210377940

Thus, we can understand that the LCM of 803,334,770,684 is 3210377940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 803, 334, 770, 684

1. What is the LCM of 803, 334, 770, 684?

Answer: LCM of 803, 334, 770, 684 is 3210377940.

2. How to calculate the LCM of 803, 334, 770, 684?

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 803, 334, 770, 684.

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}.