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LCM of 346, 326, 374, 630, 326

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


Find the LCM of 346, 326, 374, 630, 326 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, 326, 374, 630, 326. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 346,326,374,630,326

Given numbers are 346,326,374,630,326

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

The LCM of 346,326,374,630,326 is 3322124190.

Find LCM of 346,326,374,630,326 with Prime Factorization


2 346, 326, 374, 630, 326
163 173, 163, 187, 315, 163
173, 1, 187, 315, 1

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

2 x 163 x 173 x 1 x 187 x 315 x 1 = 3322124190

Therefore, the lowest common multiple of 346,326,374,630,326 is 3322124190.

LCM Formula to Find Lowest Common Multiple of 346,326,374,630,326

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 326 x 374 x 630 x 326 = 8664099887520

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

326 : 1, 2, 163, 326

374 : 1, 2, 11, 17, 22, 34, 187, 374

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

326 : 1, 2, 163, 326

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,326,374,630,326, is 2.

Now, the common factors can be found like this.

346:2x 173

326:2x 163

374:2x 11x 17

630:2x 3x 3x 5x 7

326:2x 163

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 163 = 1304

Therefore, the value for common factors is 1304.

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 = 8664099887520/(2x1304)

LCM = 8664099887520/2608

LCM = 3322124190

Thus, we can understand that the LCM of 346,326,374,630,326 is 3322124190.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 346, 326, 374, 630, 326

1. What is the LCM of 346, 326, 374, 630, 326?

Answer: LCM of 346, 326, 374, 630, 326 is 3322124190.

2. How to calculate the LCM of 346, 326, 374, 630, 326?

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, 326, 374, 630, 326.

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}.