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LCM of 604, 126, 206, 889

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


Find the LCM of 604, 126, 206, 889 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 604, 126, 206, 889. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 604,126,206,889

Given numbers are 604,126,206,889

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

The LCM of 604,126,206,889 is 497758212.

Find LCM of 604,126,206,889 with Prime Factorization


2 604, 126, 206, 889
7 302, 63, 103, 889
302, 9, 103, 127

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

2 x 7 x 302 x 9 x 103 x 127 = 497758212

Therefore, the lowest common multiple of 604,126,206,889 is 497758212.

LCM Formula to Find Lowest Common Multiple of 604,126,206,889

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.

604 x 126 x 206 x 889 = 13937229936

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.

604 : 1, 2, 4, 151, 302, 604

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

206 : 1, 2, 103, 206

889 : 1, 7, 127, 889

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,126,206,889, is 1.

Now, the common factors can be found like this.

604:2x 2x 151

126:2x 3x 3x 7

206:2x 103

889:7x 127

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

2x 2x 7 = 28

Therefore, the value for common factors is 28.

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 = 13937229936/(1x28)

LCM = 13937229936/28

LCM = 497758212

Thus, we can understand that the LCM of 604,126,206,889 is 497758212.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 604, 126, 206, 889

1. What is the LCM of 604, 126, 206, 889?

Answer: LCM of 604, 126, 206, 889 is 497758212.

2. How to calculate the LCM of 604, 126, 206, 889?

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 604, 126, 206, 889.

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}.