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LCM of 716, 561, 326, 168, 336

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


Find the LCM of 716, 561, 326, 168, 336 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 716, 561, 326, 168, 336. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 716,561,326,168,336

Given numbers are 716,561,326,168,336

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

The LCM of 716,561,326,168,336 is 1833249264.

Find LCM of 716,561,326,168,336 with Prime Factorization


2 716, 561, 326, 168, 336
2 358, 561, 163, 84, 168
2 179, 561, 163, 42, 84
3 179, 561, 163, 21, 42
7 179, 187, 163, 7, 14
179, 187, 163, 1, 2

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

2 x 2 x 2 x 3 x 7 x 179 x 187 x 163 x 1 x 2 = 1833249264

Therefore, the lowest common multiple of 716,561,326,168,336 is 1833249264.

LCM Formula to Find Lowest Common Multiple of 716,561,326,168,336

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.

716 x 561 x 326 x 168 x 336 = 7391661032448

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.

716 : 1, 2, 4, 179, 358, 716

561 : 1, 3, 11, 17, 33, 51, 187, 561

326 : 1, 2, 163, 326

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,561,326,168,336, is 1.

Now, the common factors can be found like this.

716:2x 2x 179

561:3x 11x 17

326:2x 163

168:2x 2x 2x 3x 7

336:2x 2x 2x 2x 3x 7

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 2x 2x 2x 3x 3x 7 = 4032

Therefore, the value for common factors is 4032.

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 = 7391661032448/(1x4032)

LCM = 7391661032448/4032

LCM = 1833249264

Thus, we can understand that the LCM of 716,561,326,168,336 is 1833249264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 716, 561, 326, 168, 336

1. What is the LCM of 716, 561, 326, 168, 336?

Answer: LCM of 716, 561, 326, 168, 336 is 1833249264.

2. How to calculate the LCM of 716, 561, 326, 168, 336?

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 716, 561, 326, 168, 336.

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}.