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LCM of 126, 889, 301, 633

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


Find the LCM of 126, 889, 301, 633 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 126, 889, 301, 633. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 126,889,301,633

Given numbers are 126,889,301,633

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

The LCM of 126,889,301,633 is 145186146.

Find LCM of 126,889,301,633 with Prime Factorization


3 126, 889, 301, 633
7 42, 889, 301, 211
6, 127, 43, 211

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

3 x 7 x 6 x 127 x 43 x 211 = 145186146

Therefore, the lowest common multiple of 126,889,301,633 is 145186146.

LCM Formula to Find Lowest Common Multiple of 126,889,301,633

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.

126 x 889 x 301 x 633 = 21342363462

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.

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

889 : 1, 7, 127, 889

301 : 1, 7, 43, 301

633 : 1, 3, 211, 633

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,889,301,633, is 1.

Now, the common factors can be found like this.

126:2x 3x 3x 7

889:7x 127

301:7x 43

633:3x 211

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

3x 7x 7 = 147

Therefore, the value for common factors is 147.

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 = 21342363462/(1x147)

LCM = 21342363462/147

LCM = 145186146

Thus, we can understand that the LCM of 126,889,301,633 is 145186146.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 126, 889, 301, 633

1. What is the LCM of 126, 889, 301, 633?

Answer: LCM of 126, 889, 301, 633 is 145186146.

2. How to calculate the LCM of 126, 889, 301, 633?

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 126, 889, 301, 633.

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}.