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LCM of 749, 369, 164, 698

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


Find the LCM of 749, 369, 164, 698 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 749, 369, 164, 698. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 749,369,164,698

Given numbers are 749,369,164,698

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

The LCM of 749,369,164,698 is 385827876.

Find LCM of 749,369,164,698 with Prime Factorization


2 749, 369, 164, 698
41 749, 369, 82, 349
749, 9, 2, 349

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

2 x 41 x 749 x 9 x 2 x 349 = 385827876

Therefore, the lowest common multiple of 749,369,164,698 is 385827876.

LCM Formula to Find Lowest Common Multiple of 749,369,164,698

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.

749 x 369 x 164 x 698 = 31637885832

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.

749 : 1, 7, 107, 749

369 : 1, 3, 9, 41, 123, 369

164 : 1, 2, 4, 41, 82, 164

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,369,164,698, is 1.

Now, the common factors can be found like this.

749:7x 107

369:3x 3x 41

164:2x 2x 41

698:2x 349

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

2x 41 = 82

Therefore, the value for common factors is 82.

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 = 31637885832/(1x82)

LCM = 31637885832/82

LCM = 385827876

Thus, we can understand that the LCM of 749,369,164,698 is 385827876.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 749, 369, 164, 698

1. What is the LCM of 749, 369, 164, 698?

Answer: LCM of 749, 369, 164, 698 is 385827876.

2. How to calculate the LCM of 749, 369, 164, 698?

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 749, 369, 164, 698.

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}.