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LCM of 148, 532, 298, 577, 426

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


Find the LCM of 148, 532, 298, 577, 426 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 148, 532, 298, 577, 426. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 148,532,298,577,426

Given numbers are 148,532,298,577,426

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

The LCM of 148,532,298,577,426 is 360458309316.

Find LCM of 148,532,298,577,426 with Prime Factorization


2 148, 532, 298, 577, 426
2 74, 266, 149, 577, 213
37, 133, 149, 577, 213

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

2 x 2 x 37 x 133 x 149 x 577 x 213 = 360458309316

Therefore, the lowest common multiple of 148,532,298,577,426 is 360458309316.

LCM Formula to Find Lowest Common Multiple of 148,532,298,577,426

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.

148 x 532 x 298 x 577 x 426 = 5767332949056

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.

148 : 1, 2, 4, 37, 74, 148

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

298 : 1, 2, 149, 298

577 : 1, 577

426 : 1, 2, 3, 6, 71, 142, 213, 426

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,532,298,577,426, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

532:2x 2x 7x 19

298:2x 149

577:577

426:2x 3x 71

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 2 = 16

Therefore, the value for common factors is 16.

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 = 5767332949056/(1x16)

LCM = 5767332949056/16

LCM = 360458309316

Thus, we can understand that the LCM of 148,532,298,577,426 is 360458309316.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 148, 532, 298, 577, 426

1. What is the LCM of 148, 532, 298, 577, 426?

Answer: LCM of 148, 532, 298, 577, 426 is 360458309316.

2. How to calculate the LCM of 148, 532, 298, 577, 426?

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 148, 532, 298, 577, 426.

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}.