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LCM of 274, 274, 290, 345

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


Find the LCM of 274, 274, 290, 345 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 274, 274, 290, 345. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 274,274,290,345

Given numbers are 274,274,290,345

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

The LCM of 274,274,290,345 is 2741370.

Find LCM of 274,274,290,345 with Prime Factorization


2 274, 274, 290, 345
5 137, 137, 145, 345
137 137, 137, 29, 69
1, 1, 29, 69

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

2 x 5 x 137 x 1 x 1 x 29 x 69 = 2741370

Therefore, the lowest common multiple of 274,274,290,345 is 2741370.

LCM Formula to Find Lowest Common Multiple of 274,274,290,345

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.

274 x 274 x 290 x 345 = 7511353800

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.

274 : 1, 2, 137, 274

274 : 1, 2, 137, 274

290 : 1, 2, 5, 10, 29, 58, 145, 290

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,274,290,345, is 1.

Now, the common factors can be found like this.

274:2x 137

274:2x 137

290:2x 5x 29

345:3x 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.

2x 2x 5x 137 = 2740

Therefore, the value for common factors is 2740.

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 = 7511353800/(1x2740)

LCM = 7511353800/2740

LCM = 2741370

Thus, we can understand that the LCM of 274,274,290,345 is 2741370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 274, 274, 290, 345

1. What is the LCM of 274, 274, 290, 345?

Answer: LCM of 274, 274, 290, 345 is 2741370.

2. How to calculate the LCM of 274, 274, 290, 345?

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 274, 274, 290, 345.

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}.