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LCM of 708, 596, 523, 149

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


Find the LCM of 708, 596, 523, 149 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 708, 596, 523, 149. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 708,596,523,149

Given numbers are 708,596,523,149

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

The LCM of 708,596,523,149 is 55172316.

Find LCM of 708,596,523,149 with Prime Factorization


2 708, 596, 523, 149
2 354, 298, 523, 149
149 177, 149, 523, 149
177, 1, 523, 1

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

2 x 2 x 149 x 177 x 1 x 523 x 1 = 55172316

Therefore, the lowest common multiple of 708,596,523,149 is 55172316.

LCM Formula to Find Lowest Common Multiple of 708,596,523,149

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.

708 x 596 x 523 x 149 = 32882700336

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

523 : 1, 523

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,596,523,149, is 1.

Now, the common factors can be found like this.

708:2x 2x 3x 59

596:2x 2x 149

523:523

149:149

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 149 = 596

Therefore, the value for common factors is 596.

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 = 32882700336/(1x596)

LCM = 32882700336/596

LCM = 55172316

Thus, we can understand that the LCM of 708,596,523,149 is 55172316.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 708, 596, 523, 149

1. What is the LCM of 708, 596, 523, 149?

Answer: LCM of 708, 596, 523, 149 is 55172316.

2. How to calculate the LCM of 708, 596, 523, 149?

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 708, 596, 523, 149.

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}.