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LCM of 298, 654, 780, 351

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


Find the LCM of 298, 654, 780, 351 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, 654, 780, 351. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 298,654,780,351

Given numbers are 298,654,780,351

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

The LCM of 298,654,780,351 is 114011820.

Find LCM of 298,654,780,351 with Prime Factorization


2 298, 654, 780, 351
3 149, 327, 390, 351
13 149, 109, 130, 117
149, 109, 10, 9

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

2 x 3 x 13 x 149 x 109 x 10 x 9 = 114011820

Therefore, the lowest common multiple of 298,654,780,351 is 114011820.

LCM Formula to Find Lowest Common Multiple of 298,654,780,351

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 654 x 780 x 351 = 53357531760

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

654 : 1, 2, 3, 6, 109, 218, 327, 654

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,654,780,351, is 1.

Now, the common factors can be found like this.

298:2x 149

654:2x 3x 109

780:2x 2x 3x 5x 13

351:3x 3x 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 2x 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 53357531760/(1x468)

LCM = 53357531760/468

LCM = 114011820

Thus, we can understand that the LCM of 298,654,780,351 is 114011820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 298, 654, 780, 351

1. What is the LCM of 298, 654, 780, 351?

Answer: LCM of 298, 654, 780, 351 is 114011820.

2. How to calculate the LCM of 298, 654, 780, 351?

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, 654, 780, 351.

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}.