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LCM of 884, 700, 577, 126, 906

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


Find the LCM of 884, 700, 577, 126, 906 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 884, 700, 577, 126, 906. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,700,577,126,906

Given numbers are 884,700,577,126,906

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

The LCM of 884,700,577,126,906 is 121306922100.

Find LCM of 884,700,577,126,906 with Prime Factorization


2 884, 700, 577, 126, 906
2 442, 350, 577, 63, 453
3 221, 175, 577, 63, 453
7 221, 175, 577, 21, 151
221, 25, 577, 3, 151

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

2 x 2 x 3 x 7 x 221 x 25 x 577 x 3 x 151 = 121306922100

Therefore, the lowest common multiple of 884,700,577,126,906 is 121306922100.

LCM Formula to Find Lowest Common Multiple of 884,700,577,126,906

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.

884 x 700 x 577 x 126 x 906 = 40759125825600

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.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

577 : 1, 577

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

906 : 1, 2, 3, 6, 151, 302, 453, 906

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,700,577,126,906, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

700:2x 2x 5x 5x 7

577:577

126:2x 3x 3x 7

906:2x 3x 151

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 2x 2x 3x 7 = 336

Therefore, the value for common factors is 336.

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 = 40759125825600/(1x336)

LCM = 40759125825600/336

LCM = 121306922100

Thus, we can understand that the LCM of 884,700,577,126,906 is 121306922100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 700, 577, 126, 906

1. What is the LCM of 884, 700, 577, 126, 906?

Answer: LCM of 884, 700, 577, 126, 906 is 121306922100.

2. How to calculate the LCM of 884, 700, 577, 126, 906?

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 884, 700, 577, 126, 906.

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}.