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LCM of 689, 824, 564, 318

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


Find the LCM of 689, 824, 564, 318 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, 824, 564, 318. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,824,564,318

Given numbers are 689,824,564,318

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

The LCM of 689,824,564,318 is 80050776.

Find LCM of 689,824,564,318 with Prime Factorization


2 689, 824, 564, 318
2 689, 412, 282, 159
3 689, 206, 141, 159
53 689, 206, 47, 53
13, 206, 47, 1

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

2 x 2 x 3 x 53 x 13 x 206 x 47 x 1 = 80050776

Therefore, the lowest common multiple of 689,824,564,318 is 80050776.

LCM Formula to Find Lowest Common Multiple of 689,824,564,318

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 824 x 564 x 318 = 101824587072

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

824 : 1, 2, 4, 8, 103, 206, 412, 824

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

318 : 1, 2, 3, 6, 53, 106, 159, 318

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,824,564,318, is 1.

Now, the common factors can be found like this.

689:13x 53

824:2x 2x 2x 103

564:2x 2x 3x 47

318:2x 3x 53

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 2x 3x 53 = 1272

Therefore, the value for common factors is 1272.

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 = 101824587072/(1x1272)

LCM = 101824587072/1272

LCM = 80050776

Thus, we can understand that the LCM of 689,824,564,318 is 80050776.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 824, 564, 318

1. What is the LCM of 689, 824, 564, 318?

Answer: LCM of 689, 824, 564, 318 is 80050776.

2. How to calculate the LCM of 689, 824, 564, 318?

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, 824, 564, 318.

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}.