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LCM of 346, 697, 920

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


Find the LCM of 346, 697, 920 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, 697, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 346,697,920

Given numbers are 346,697,920

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

The LCM of 346,697,920 is 110934520.

Find LCM of 346,697,920 with Prime Factorization


2 346, 697, 920
173, 697, 460

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

2 x 173 x 697 x 460 = 110934520

Therefore, the lowest common multiple of 346,697,920 is 110934520.

LCM Formula to Find Lowest Common Multiple of 346,697,920

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 697 x 920 = 221869040

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

697 : 1, 17, 41, 697

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,697,920, is 1.

Now, the common factors can be found like this.

346:2x 173

697:17x 41

920:2x 2x 2x 5x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 221869040/(1x2)

LCM = 221869040/2

LCM = 110934520

Thus, we can understand that the LCM of 346,697,920 is 110934520.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 346, 697, 920

1. What is the LCM of 346, 697, 920?

Answer: LCM of 346, 697, 920 is 110934520.

2. How to calculate the LCM of 346, 697, 920?

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, 697, 920.

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}.