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LCM of 471, 834, 354, 149

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


Find the LCM of 471, 834, 354, 149 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 471, 834, 354, 149. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 471,834,354,149

Given numbers are 471,834,354,149

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

The LCM of 471,834,354,149 is 1151075958.

Find LCM of 471,834,354,149 with Prime Factorization


2 471, 834, 354, 149
3 471, 417, 177, 149
157, 139, 59, 149

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

2 x 3 x 157 x 139 x 59 x 149 = 1151075958

Therefore, the lowest common multiple of 471,834,354,149 is 1151075958.

LCM Formula to Find Lowest Common Multiple of 471,834,354,149

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.

471 x 834 x 354 x 149 = 20719367244

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.

471 : 1, 3, 157, 471

834 : 1, 2, 3, 6, 139, 278, 417, 834

354 : 1, 2, 3, 6, 59, 118, 177, 354

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,834,354,149, is 1.

Now, the common factors can be found like this.

471:3x 157

834:2x 3x 139

354:2x 3x 59

149:149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 20719367244/(1x18)

LCM = 20719367244/18

LCM = 1151075958

Thus, we can understand that the LCM of 471,834,354,149 is 1151075958.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 471, 834, 354, 149

1. What is the LCM of 471, 834, 354, 149?

Answer: LCM of 471, 834, 354, 149 is 1151075958.

2. How to calculate the LCM of 471, 834, 354, 149?

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 471, 834, 354, 149.

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}.