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LCM of 347, 136, 936, 340, 750

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


Find the LCM of 347, 136, 936, 340, 750 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, 136, 936, 340, 750. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 347,136,936,340,750

Given numbers are 347,136,936,340,750

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

The LCM of 347,136,936,340,750 is 690183000.

Find LCM of 347,136,936,340,750 with Prime Factorization


2 347, 136, 936, 340, 750
2 347, 68, 468, 170, 375
2 347, 34, 234, 85, 375
3 347, 17, 117, 85, 375
5 347, 17, 39, 85, 125
17 347, 17, 39, 17, 25
347, 1, 39, 1, 25

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

2 x 2 x 2 x 3 x 5 x 17 x 347 x 1 x 39 x 1 x 25 = 690183000

Therefore, the lowest common multiple of 347,136,936,340,750 is 690183000.

LCM Formula to Find Lowest Common Multiple of 347,136,936,340,750

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 136 x 936 x 340 x 750 = 11263786560000

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

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

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,136,936,340,750, is 1.

Now, the common factors can be found like this.

347:347

136:2x 2x 2x 17

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

340:2x 2x 5x 17

750:2x 3x 5x 5x 5

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 5x 17 = 16320

Therefore, the value for common factors is 16320.

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 = 11263786560000/(1x16320)

LCM = 11263786560000/16320

LCM = 690183000

Thus, we can understand that the LCM of 347,136,936,340,750 is 690183000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 347, 136, 936, 340, 750

1. What is the LCM of 347, 136, 936, 340, 750?

Answer: LCM of 347, 136, 936, 340, 750 is 690183000.

2. How to calculate the LCM of 347, 136, 936, 340, 750?

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, 136, 936, 340, 750.

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}.