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LCM of 347, 574, 936, 312

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


Find the LCM of 347, 574, 936, 312 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 347, 574, 936, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 347,574,936,312

Given numbers are 347,574,936,312

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

The LCM of 347,574,936,312 is 93215304.

Find LCM of 347,574,936,312 with Prime Factorization


2 347, 574, 936, 312
2 347, 287, 468, 156
2 347, 287, 234, 78
3 347, 287, 117, 39
13 347, 287, 13, 39
347, 287, 1, 3

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

2 x 2 x 2 x 3 x 13 x 347 x 287 x 1 x 3 = 93215304

Therefore, the lowest common multiple of 347,574,936,312 is 93215304.

LCM Formula to Find Lowest Common Multiple of 347,574,936,312

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.

347 x 574 x 936 x 312 = 58166349696

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.

347 : 1, 347

574 : 1, 2, 7, 14, 41, 82, 287, 574

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,574,936,312, is 1.

Now, the common factors can be found like this.

347:347

574:2x 7x 41

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

312:2x 2x 2x 3x 13

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 13 = 624

Therefore, the value for common factors is 624.

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 = 58166349696/(1x624)

LCM = 58166349696/624

LCM = 93215304

Thus, we can understand that the LCM of 347,574,936,312 is 93215304.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 347, 574, 936, 312

1. What is the LCM of 347, 574, 936, 312?

Answer: LCM of 347, 574, 936, 312 is 93215304.

2. How to calculate the LCM of 347, 574, 936, 312?

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 347, 574, 936, 312.

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}.