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LCM of 705, 752, 596, 113

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


Find the LCM of 705, 752, 596, 113 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 705, 752, 596, 113. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 705,752,596,113

Given numbers are 705,752,596,113

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

The LCM of 705,752,596,113 is 189921360.

Find LCM of 705,752,596,113 with Prime Factorization


2 705, 752, 596, 113
2 705, 376, 298, 113
47 705, 188, 149, 113
15, 4, 149, 113

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

2 x 2 x 47 x 15 x 4 x 149 x 113 = 189921360

Therefore, the lowest common multiple of 705,752,596,113 is 189921360.

LCM Formula to Find Lowest Common Multiple of 705,752,596,113

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.

705 x 752 x 596 x 113 = 35705215680

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,752,596,113, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

752:2x 2x 2x 2x 47

596:2x 2x 149

113:113

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 47 = 188

Therefore, the value for common factors is 188.

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 = 35705215680/(1x188)

LCM = 35705215680/188

LCM = 189921360

Thus, we can understand that the LCM of 705,752,596,113 is 189921360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 705, 752, 596, 113

1. What is the LCM of 705, 752, 596, 113?

Answer: LCM of 705, 752, 596, 113 is 189921360.

2. How to calculate the LCM of 705, 752, 596, 113?

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 705, 752, 596, 113.

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}.