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LCM of 745, 259, 902, 688, 972

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


Find the LCM of 745, 259, 902, 688, 972 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 745, 259, 902, 688, 972. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 745,259,902,688,972

Given numbers are 745,259,902,688,972

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

The LCM of 745,259,902,688,972 is 14548803912720.

Find LCM of 745,259,902,688,972 with Prime Factorization


2 745, 259, 902, 688, 972
2 745, 259, 451, 344, 486
745, 259, 451, 172, 243

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

2 x 2 x 745 x 259 x 451 x 172 x 243 = 14548803912720

Therefore, the lowest common multiple of 745,259,902,688,972 is 14548803912720.

LCM Formula to Find Lowest Common Multiple of 745,259,902,688,972

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.

745 x 259 x 902 x 688 x 972 = 116390431301760

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.

745 : 1, 5, 149, 745

259 : 1, 7, 37, 259

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

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,259,902,688,972, is 1.

Now, the common factors can be found like this.

745:5x 149

259:7x 37

902:2x 11x 41

688:2x 2x 2x 2x 43

972:2x 2x 3x 3x 3x 3x 3

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 2 = 8

Therefore, the value for common factors is 8.

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 = 116390431301760/(1x8)

LCM = 116390431301760/8

LCM = 14548803912720

Thus, we can understand that the LCM of 745,259,902,688,972 is 14548803912720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 745, 259, 902, 688, 972

1. What is the LCM of 745, 259, 902, 688, 972?

Answer: LCM of 745, 259, 902, 688, 972 is 14548803912720.

2. How to calculate the LCM of 745, 259, 902, 688, 972?

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 745, 259, 902, 688, 972.

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}.