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LCM of 554, 430, 119, 535

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


Find the LCM of 554, 430, 119, 535 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 554, 430, 119, 535. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 554,430,119,535

Given numbers are 554,430,119,535

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

The LCM of 554,430,119,535 is 1516627630.

Find LCM of 554,430,119,535 with Prime Factorization


2 554, 430, 119, 535
5 277, 215, 119, 535
277, 43, 119, 107

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

2 x 5 x 277 x 43 x 119 x 107 = 1516627630

Therefore, the lowest common multiple of 554,430,119,535 is 1516627630.

LCM Formula to Find Lowest Common Multiple of 554,430,119,535

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.

554 x 430 x 119 x 535 = 15166276300

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.

554 : 1, 2, 277, 554

430 : 1, 2, 5, 10, 43, 86, 215, 430

119 : 1, 7, 17, 119

535 : 1, 5, 107, 535

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,430,119,535, is 1.

Now, the common factors can be found like this.

554:2x 277

430:2x 5x 43

119:7x 17

535:5x 107

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 15166276300/(1x10)

LCM = 15166276300/10

LCM = 1516627630

Thus, we can understand that the LCM of 554,430,119,535 is 1516627630.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 554, 430, 119, 535

1. What is the LCM of 554, 430, 119, 535?

Answer: LCM of 554, 430, 119, 535 is 1516627630.

2. How to calculate the LCM of 554, 430, 119, 535?

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 554, 430, 119, 535.

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}.