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LCM of 437, 471, 506, 678

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


Find the LCM of 437, 471, 506, 678 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 437, 471, 506, 678. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,471,506,678

Given numbers are 437,471,506,678

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

The LCM of 437,471,506,678 is 511685922.

Find LCM of 437,471,506,678 with Prime Factorization


2 437, 471, 506, 678
3 437, 471, 253, 339
23 437, 157, 253, 113
19, 157, 11, 113

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

2 x 3 x 23 x 19 x 157 x 11 x 113 = 511685922

Therefore, the lowest common multiple of 437,471,506,678 is 511685922.

LCM Formula to Find Lowest Common Multiple of 437,471,506,678

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.

437 x 471 x 506 x 678 = 70612657236

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.

437 : 1, 19, 23, 437

471 : 1, 3, 157, 471

506 : 1, 2, 11, 22, 23, 46, 253, 506

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,471,506,678, is 1.

Now, the common factors can be found like this.

437:19x 23

471:3x 157

506:2x 11x 23

678:2x 3x 113

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 23 = 138

Therefore, the value for common factors is 138.

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 = 70612657236/(1x138)

LCM = 70612657236/138

LCM = 511685922

Thus, we can understand that the LCM of 437,471,506,678 is 511685922.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 471, 506, 678

1. What is the LCM of 437, 471, 506, 678?

Answer: LCM of 437, 471, 506, 678 is 511685922.

2. How to calculate the LCM of 437, 471, 506, 678?

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 437, 471, 506, 678.

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}.