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LCM of 312, 403, 754, 335

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


Find the LCM of 312, 403, 754, 335 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 312, 403, 754, 335. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 312,403,754,335

Given numbers are 312,403,754,335

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

The LCM of 312,403,754,335 is 93963480.

Find LCM of 312,403,754,335 with Prime Factorization


2 312, 403, 754, 335
13 156, 403, 377, 335
12, 31, 29, 335

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

2 x 13 x 12 x 31 x 29 x 335 = 93963480

Therefore, the lowest common multiple of 312,403,754,335 is 93963480.

LCM Formula to Find Lowest Common Multiple of 312,403,754,335

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.

312 x 403 x 754 x 335 = 31759656240

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.

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

403 : 1, 13, 31, 403

754 : 1, 2, 13, 26, 29, 58, 377, 754

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,403,754,335, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

403:13x 31

754:2x 13x 29

335:5x 67

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 31759656240/(1x338)

LCM = 31759656240/338

LCM = 93963480

Thus, we can understand that the LCM of 312,403,754,335 is 93963480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 312, 403, 754, 335

1. What is the LCM of 312, 403, 754, 335?

Answer: LCM of 312, 403, 754, 335 is 93963480.

2. How to calculate the LCM of 312, 403, 754, 335?

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 312, 403, 754, 335.

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}.