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LCM of 710, 312, 936, 247

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


Find the LCM of 710, 312, 936, 247 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 710, 312, 936, 247. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 710,312,936,247

Given numbers are 710,312,936,247

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

The LCM of 710,312,936,247 is 6313320.

Find LCM of 710,312,936,247 with Prime Factorization


2 710, 312, 936, 247
2 355, 156, 468, 247
2 355, 78, 234, 247
3 355, 39, 117, 247
13 355, 13, 39, 247
355, 1, 3, 19

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

2 x 2 x 2 x 3 x 13 x 355 x 1 x 3 x 19 = 6313320

Therefore, the lowest common multiple of 710,312,936,247 is 6313320.

LCM Formula to Find Lowest Common Multiple of 710,312,936,247

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.

710 x 312 x 936 x 247 = 51213651840

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.

710 : 1, 2, 5, 10, 71, 142, 355, 710

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 710,312,936,247, is 1.

Now, the common factors can be found like this.

710:2x 5x 71

312:2x 2x 2x 3x 13

936:2x 2x 2x 3x 3x 13

247:13x 19

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 3x 13x 13 = 8112

Therefore, the value for common factors is 8112.

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 = 51213651840/(1x8112)

LCM = 51213651840/8112

LCM = 6313320

Thus, we can understand that the LCM of 710,312,936,247 is 6313320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 710, 312, 936, 247

1. What is the LCM of 710, 312, 936, 247?

Answer: LCM of 710, 312, 936, 247 is 6313320.

2. How to calculate the LCM of 710, 312, 936, 247?

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 710, 312, 936, 247.

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}.