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LCM of 347, 675, 264, 748

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


Find the LCM of 347, 675, 264, 748 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, 675, 264, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 347,675,264,748

Given numbers are 347,675,264,748

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

The LCM of 347,675,264,748 is 350400600.

Find LCM of 347,675,264,748 with Prime Factorization


2 347, 675, 264, 748
2 347, 675, 132, 374
3 347, 675, 66, 187
11 347, 225, 22, 187
347, 225, 2, 17

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

2 x 2 x 3 x 11 x 347 x 225 x 2 x 17 = 350400600

Therefore, the lowest common multiple of 347,675,264,748 is 350400600.

LCM Formula to Find Lowest Common Multiple of 347,675,264,748

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 675 x 264 x 748 = 46252879200

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

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,675,264,748, is 1.

Now, the common factors can be found like this.

347:347

675:3x 3x 3x 5x 5

264:2x 2x 2x 3x 11

748:2x 2x 11x 17

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 46252879200/(1x132)

LCM = 46252879200/132

LCM = 350400600

Thus, we can understand that the LCM of 347,675,264,748 is 350400600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 347, 675, 264, 748

1. What is the LCM of 347, 675, 264, 748?

Answer: LCM of 347, 675, 264, 748 is 350400600.

2. How to calculate the LCM of 347, 675, 264, 748?

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, 675, 264, 748.

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}.