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LCM of 953, 163, 112, 698, 744

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


Find the LCM of 953, 163, 112, 698, 744 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 953, 163, 112, 698, 744. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 953,163,112,698,744

Given numbers are 953,163,112,698,744

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

The LCM of 953,163,112,698,744 is 564685847376.

Find LCM of 953,163,112,698,744 with Prime Factorization


2 953, 163, 112, 698, 744
2 953, 163, 56, 349, 372
2 953, 163, 28, 349, 186
953, 163, 14, 349, 93

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

2 x 2 x 2 x 953 x 163 x 14 x 349 x 93 = 564685847376

Therefore, the lowest common multiple of 953,163,112,698,744 is 564685847376.

LCM Formula to Find Lowest Common Multiple of 953,163,112,698,744

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.

953 x 163 x 112 x 698 x 744 = 9034973558016

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.

953 : 1, 953

163 : 1, 163

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

698 : 1, 2, 349, 698

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,163,112,698,744, is 1.

Now, the common factors can be found like this.

953:953

163:163

112:2x 2x 2x 2x 7

698:2x 349

744:2x 2x 2x 3x 31

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 2 = 16

Therefore, the value for common factors is 16.

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 = 9034973558016/(1x16)

LCM = 9034973558016/16

LCM = 564685847376

Thus, we can understand that the LCM of 953,163,112,698,744 is 564685847376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 953, 163, 112, 698, 744

1. What is the LCM of 953, 163, 112, 698, 744?

Answer: LCM of 953, 163, 112, 698, 744 is 564685847376.

2. How to calculate the LCM of 953, 163, 112, 698, 744?

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 953, 163, 112, 698, 744.

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}.