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LCM of 298, 238, 510, 170, 274

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


Find the LCM of 298, 238, 510, 170, 274 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 298, 238, 510, 170, 274. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 298,238,510,170,274

Given numbers are 298,238,510,170,274

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

The LCM of 298,238,510,170,274 is 72874410.

Find LCM of 298,238,510,170,274 with Prime Factorization


2 298, 238, 510, 170, 274
5 149, 119, 255, 85, 137
17 149, 119, 51, 17, 137
149, 7, 3, 1, 137

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

2 x 5 x 17 x 149 x 7 x 3 x 1 x 137 = 72874410

Therefore, the lowest common multiple of 298,238,510,170,274 is 72874410.

LCM Formula to Find Lowest Common Multiple of 298,238,510,170,274

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.

298 x 238 x 510 x 170 x 274 = 1684856359200

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.

298 : 1, 2, 149, 298

238 : 1, 2, 7, 14, 17, 34, 119, 238

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

170 : 1, 2, 5, 10, 17, 34, 85, 170

274 : 1, 2, 137, 274

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,238,510,170,274, is 2.

Now, the common factors can be found like this.

298:2x 149

238:2x 7x 17

510:2x 3x 5x 17

170:2x 5x 17

274:2x 137

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 5x 17x 17 = 11560

Therefore, the value for common factors is 11560.

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 = 1684856359200/(2x11560)

LCM = 1684856359200/23120

LCM = 72874410

Thus, we can understand that the LCM of 298,238,510,170,274 is 72874410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 298, 238, 510, 170, 274

1. What is the LCM of 298, 238, 510, 170, 274?

Answer: LCM of 298, 238, 510, 170, 274 is 72874410.

2. How to calculate the LCM of 298, 238, 510, 170, 274?

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 298, 238, 510, 170, 274.

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}.