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LCM of 630, 894, 596, 668

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


Find the LCM of 630, 894, 596, 668 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 630, 894, 596, 668. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 630,894,596,668

Given numbers are 630,894,596,668

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

The LCM of 630,894,596,668 is 31352580.

Find LCM of 630,894,596,668 with Prime Factorization


2 630, 894, 596, 668
2 315, 447, 298, 334
3 315, 447, 149, 167
149 105, 149, 149, 167
105, 1, 1, 167

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

2 x 2 x 3 x 149 x 105 x 1 x 1 x 167 = 31352580

Therefore, the lowest common multiple of 630,894,596,668 is 31352580.

LCM Formula to Find Lowest Common Multiple of 630,894,596,668

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.

630 x 894 x 596 x 668 = 224233652160

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

894 : 1, 2, 3, 6, 149, 298, 447, 894

596 : 1, 2, 4, 149, 298, 596

668 : 1, 2, 4, 167, 334, 668

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,894,596,668, is 2.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

894:2x 3x 149

596:2x 2x 149

668:2x 2x 167

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 149 = 3576

Therefore, the value for common factors is 3576.

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 = 224233652160/(2x3576)

LCM = 224233652160/7152

LCM = 31352580

Thus, we can understand that the LCM of 630,894,596,668 is 31352580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 630, 894, 596, 668

1. What is the LCM of 630, 894, 596, 668?

Answer: LCM of 630, 894, 596, 668 is 31352580.

2. How to calculate the LCM of 630, 894, 596, 668?

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 630, 894, 596, 668.

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}.