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LCM of 349, 844, 763, 633

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


Find the LCM of 349, 844, 763, 633 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 349, 844, 763, 633. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 349,844,763,633

Given numbers are 349,844,763,633

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

The LCM of 349,844,763,633 is 674238684.

Find LCM of 349,844,763,633 with Prime Factorization


211 349, 844, 763, 633
349, 4, 763, 3

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

211 x 349 x 4 x 763 x 3 = 674238684

Therefore, the lowest common multiple of 349,844,763,633 is 674238684.

LCM Formula to Find Lowest Common Multiple of 349,844,763,633

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.

349 x 844 x 763 x 633 = 142264362324

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.

349 : 1, 349

844 : 1, 2, 4, 211, 422, 844

763 : 1, 7, 109, 763

633 : 1, 3, 211, 633

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,844,763,633, is 1.

Now, the common factors can be found like this.

349:349

844:2x 2x 211

763:7x 109

633:3x 211

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

211 = 211

Therefore, the value for common factors is 211.

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 = 142264362324/(1x211)

LCM = 142264362324/211

LCM = 674238684

Thus, we can understand that the LCM of 349,844,763,633 is 674238684.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 349, 844, 763, 633

1. What is the LCM of 349, 844, 763, 633?

Answer: LCM of 349, 844, 763, 633 is 674238684.

2. How to calculate the LCM of 349, 844, 763, 633?

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 349, 844, 763, 633.

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}.