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LCM of 751, 254, 635, 347, 423

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


Find the LCM of 751, 254, 635, 347, 423 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 751, 254, 635, 347, 423. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 751,254,635,347,423

Given numbers are 751,254,635,347,423

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

The LCM of 751,254,635,347,423 is 139995314370.

Find LCM of 751,254,635,347,423 with Prime Factorization


127 751, 254, 635, 347, 423
751, 2, 5, 347, 423

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

127 x 751 x 2 x 5 x 347 x 423 = 139995314370

Therefore, the lowest common multiple of 751,254,635,347,423 is 139995314370.

LCM Formula to Find Lowest Common Multiple of 751,254,635,347,423

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.

751 x 254 x 635 x 347 x 423 = 17779404924990

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.

751 : 1, 751

254 : 1, 2, 127, 254

635 : 1, 5, 127, 635

347 : 1, 347

423 : 1, 3, 9, 47, 141, 423

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,254,635,347,423, is 1.

Now, the common factors can be found like this.

751:751

254:2x 127

635:5x 127

347:347

423:3x 3x 47

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

127 = 127

Therefore, the value for common factors is 127.

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 = 17779404924990/(1x127)

LCM = 17779404924990/127

LCM = 139995314370

Thus, we can understand that the LCM of 751,254,635,347,423 is 139995314370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 751, 254, 635, 347, 423

1. What is the LCM of 751, 254, 635, 347, 423?

Answer: LCM of 751, 254, 635, 347, 423 is 139995314370.

2. How to calculate the LCM of 751, 254, 635, 347, 423?

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 751, 254, 635, 347, 423.

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}.