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LCM of 698, 749, 267, 642

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


Find the LCM of 698, 749, 267, 642 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 698, 749, 267, 642. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 698,749,267,642

Given numbers are 698,749,267,642

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

The LCM of 698,749,267,642 is 139588134.

Find LCM of 698,749,267,642 with Prime Factorization


2 698, 749, 267, 642
3 349, 749, 267, 321
107 349, 749, 89, 107
349, 7, 89, 1

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

2 x 3 x 107 x 349 x 7 x 89 x 1 = 139588134

Therefore, the lowest common multiple of 698,749,267,642 is 139588134.

LCM Formula to Find Lowest Common Multiple of 698,749,267,642

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.

698 x 749 x 267 x 642 = 89615582028

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.

698 : 1, 2, 349, 698

749 : 1, 7, 107, 749

267 : 1, 3, 89, 267

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,749,267,642, is 1.

Now, the common factors can be found like this.

698:2x 349

749:7x 107

267:3x 89

642:2x 3x 107

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 107 = 642

Therefore, the value for common factors is 642.

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 = 89615582028/(1x642)

LCM = 89615582028/642

LCM = 139588134

Thus, we can understand that the LCM of 698,749,267,642 is 139588134.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 698, 749, 267, 642

1. What is the LCM of 698, 749, 267, 642?

Answer: LCM of 698, 749, 267, 642 is 139588134.

2. How to calculate the LCM of 698, 749, 267, 642?

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 698, 749, 267, 642.

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}.