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LCM of 689, 262, 977, 564

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


Find the LCM of 689, 262, 977, 564 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, 262, 977, 564. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,262,977,564

Given numbers are 689,262,977,564

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

The LCM of 689,262,977,564 is 49735236252.

Find LCM of 689,262,977,564 with Prime Factorization


2 689, 262, 977, 564
689, 131, 977, 282

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

2 x 689 x 131 x 977 x 282 = 49735236252

Therefore, the lowest common multiple of 689,262,977,564 is 49735236252.

LCM Formula to Find Lowest Common Multiple of 689,262,977,564

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 262 x 977 x 564 = 99470472504

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

262 : 1, 2, 131, 262

977 : 1, 977

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,262,977,564, is 1.

Now, the common factors can be found like this.

689:13x 53

262:2x 131

977:977

564:2x 2x 3x 47

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

2 = 2

Therefore, the value for common factors is 2.

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 = 99470472504/(1x2)

LCM = 99470472504/2

LCM = 49735236252

Thus, we can understand that the LCM of 689,262,977,564 is 49735236252.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 262, 977, 564

1. What is the LCM of 689, 262, 977, 564?

Answer: LCM of 689, 262, 977, 564 is 49735236252.

2. How to calculate the LCM of 689, 262, 977, 564?

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, 262, 977, 564.

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}.