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LCM of 435, 298, 145, 510, 548

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


Find the LCM of 435, 298, 145, 510, 548 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 435, 298, 145, 510, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 435,298,145,510,548

Given numbers are 435,298,145,510,548

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

The LCM of 435,298,145,510,548 is 603816540.

Find LCM of 435,298,145,510,548 with Prime Factorization


2 435, 298, 145, 510, 548
3 435, 149, 145, 255, 274
5 145, 149, 145, 85, 274
29 29, 149, 29, 17, 274
1, 149, 1, 17, 274

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

2 x 3 x 5 x 29 x 1 x 149 x 1 x 17 x 274 = 603816540

Therefore, the lowest common multiple of 435,298,145,510,548 is 603816540.

LCM Formula to Find Lowest Common Multiple of 435,298,145,510,548

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.

435 x 298 x 145 x 510 x 548 = 5253203898000

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.

435 : 1, 3, 5, 15, 29, 87, 145, 435

298 : 1, 2, 149, 298

145 : 1, 5, 29, 145

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

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,298,145,510,548, is 1.

Now, the common factors can be found like this.

435:3x 5x 29

298:2x 149

145:5x 29

510:2x 3x 5x 17

548:2x 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 3x 5x 5x 29 = 8700

Therefore, the value for common factors is 8700.

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 = 5253203898000/(1x8700)

LCM = 5253203898000/8700

LCM = 603816540

Thus, we can understand that the LCM of 435,298,145,510,548 is 603816540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 435, 298, 145, 510, 548

1. What is the LCM of 435, 298, 145, 510, 548?

Answer: LCM of 435, 298, 145, 510, 548 is 603816540.

2. How to calculate the LCM of 435, 298, 145, 510, 548?

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 435, 298, 145, 510, 548.

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}.