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LCM of 346, 751, 751, 312

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


Find the LCM of 346, 751, 751, 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 346, 751, 751, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 346,751,751,312

Given numbers are 346,751,751,312

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

The LCM of 346,751,751,312 is 40535976.

Find LCM of 346,751,751,312 with Prime Factorization


2 346, 751, 751, 312
751 173, 751, 751, 156
173, 1, 1, 156

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

2 x 751 x 173 x 1 x 1 x 156 = 40535976

Therefore, the lowest common multiple of 346,751,751,312 is 40535976.

LCM Formula to Find Lowest Common Multiple of 346,751,751,312

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.

346 x 751 x 751 x 312 = 60885035952

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.

346 : 1, 2, 173, 346

751 : 1, 751

751 : 1, 751

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 346,751,751,312, is 1.

Now, the common factors can be found like this.

346:2x 173

751:751

751:751

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 751 = 1502

Therefore, the value for common factors is 1502.

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 = 60885035952/(1x1502)

LCM = 60885035952/1502

LCM = 40535976

Thus, we can understand that the LCM of 346,751,751,312 is 40535976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 346, 751, 751, 312

1. What is the LCM of 346, 751, 751, 312?

Answer: LCM of 346, 751, 751, 312 is 40535976.

2. How to calculate the LCM of 346, 751, 751, 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 346, 751, 751, 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}.