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LCM of 902, 697, 738, 641

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


Find the LCM of 902, 697, 738, 641 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 902, 697, 738, 641. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,697,738,641

Given numbers are 902,697,738,641

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

The LCM of 902,697,738,641 is 88461846.

Find LCM of 902,697,738,641 with Prime Factorization


2 902, 697, 738, 641
41 451, 697, 369, 641
11, 17, 9, 641

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

2 x 41 x 11 x 17 x 9 x 641 = 88461846

Therefore, the lowest common multiple of 902,697,738,641 is 88461846.

LCM Formula to Find Lowest Common Multiple of 902,697,738,641

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.

902 x 697 x 738 x 641 = 297408726252

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

697 : 1, 17, 41, 697

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

641 : 1, 641

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,697,738,641, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

697:17x 41

738:2x 3x 3x 41

641:641

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

2x 41x 41 = 3362

Therefore, the value for common factors is 3362.

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 = 297408726252/(1x3362)

LCM = 297408726252/3362

LCM = 88461846

Thus, we can understand that the LCM of 902,697,738,641 is 88461846.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 697, 738, 641

1. What is the LCM of 902, 697, 738, 641?

Answer: LCM of 902, 697, 738, 641 is 88461846.

2. How to calculate the LCM of 902, 697, 738, 641?

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 902, 697, 738, 641.

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}.