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LCM of 743, 309, 690, 414

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


Find the LCM of 743, 309, 690, 414 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 743, 309, 690, 414. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 743,309,690,414

Given numbers are 743,309,690,414

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

The LCM of 743,309,690,414 is 158415030.

Find LCM of 743,309,690,414 with Prime Factorization


2 743, 309, 690, 414
3 743, 309, 345, 207
23 743, 103, 115, 69
743, 103, 5, 3

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

2 x 3 x 23 x 743 x 103 x 5 x 3 = 158415030

Therefore, the lowest common multiple of 743,309,690,414 is 158415030.

LCM Formula to Find Lowest Common Multiple of 743,309,690,414

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.

743 x 309 x 690 x 414 = 65583822420

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.

743 : 1, 743

309 : 1, 3, 103, 309

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,309,690,414, is 1.

Now, the common factors can be found like this.

743:743

309:3x 103

690:2x 3x 5x 23

414:2x 3x 3x 23

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

2x 3x 3x 23 = 414

Therefore, the value for common factors is 414.

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 = 65583822420/(1x414)

LCM = 65583822420/414

LCM = 158415030

Thus, we can understand that the LCM of 743,309,690,414 is 158415030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 743, 309, 690, 414

1. What is the LCM of 743, 309, 690, 414?

Answer: LCM of 743, 309, 690, 414 is 158415030.

2. How to calculate the LCM of 743, 309, 690, 414?

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 743, 309, 690, 414.

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}.