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LCM of 689, 936, 507, 748

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


Find the LCM of 689, 936, 507, 748 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 689, 936, 507, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,936,507,748

Given numbers are 689,936,507,748

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

The LCM of 689,936,507,748 is 120597048.

Find LCM of 689,936,507,748 with Prime Factorization


2 689, 936, 507, 748
2 689, 468, 507, 374
3 689, 234, 507, 187
13 689, 78, 169, 187
53, 6, 13, 187

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

2 x 2 x 3 x 13 x 53 x 6 x 13 x 187 = 120597048

Therefore, the lowest common multiple of 689,936,507,748 is 120597048.

LCM Formula to Find Lowest Common Multiple of 689,936,507,748

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.

689 x 936 x 507 x 748 = 244570813344

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.

689 : 1, 13, 53, 689

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

507 : 1, 3, 13, 39, 169, 507

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,936,507,748, is 1.

Now, the common factors can be found like this.

689:13x 53

936:2x 2x 2x 3x 3x 13

507:3x 13x 13

748:2x 2x 11x 17

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 3x 13x 13 = 2028

Therefore, the value for common factors is 2028.

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 = 244570813344/(1x2028)

LCM = 244570813344/2028

LCM = 120597048

Thus, we can understand that the LCM of 689,936,507,748 is 120597048.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 936, 507, 748

1. What is the LCM of 689, 936, 507, 748?

Answer: LCM of 689, 936, 507, 748 is 120597048.

2. How to calculate the LCM of 689, 936, 507, 748?

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 689, 936, 507, 748.

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}.