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LCM of 735, 334, 851, 454

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


Find the LCM of 735, 334, 851, 454 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 735, 334, 851, 454. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 735,334,851,454

Given numbers are 735,334,851,454

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

The LCM of 735,334,851,454 is 47423021730.

Find LCM of 735,334,851,454 with Prime Factorization


2 735, 334, 851, 454
735, 167, 851, 227

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

2 x 735 x 167 x 851 x 227 = 47423021730

Therefore, the lowest common multiple of 735,334,851,454 is 47423021730.

LCM Formula to Find Lowest Common Multiple of 735,334,851,454

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.

735 x 334 x 851 x 454 = 94846043460

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

334 : 1, 2, 167, 334

851 : 1, 23, 37, 851

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,334,851,454, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

334:2x 167

851:23x 37

454:2x 227

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

2 = 2

Therefore, the value for common factors is 2.

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 = 94846043460/(1x2)

LCM = 94846043460/2

LCM = 47423021730

Thus, we can understand that the LCM of 735,334,851,454 is 47423021730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 735, 334, 851, 454

1. What is the LCM of 735, 334, 851, 454?

Answer: LCM of 735, 334, 851, 454 is 47423021730.

2. How to calculate the LCM of 735, 334, 851, 454?

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 735, 334, 851, 454.

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}.