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LCM of 709, 140, 874, 437, 177

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


Find the LCM of 709, 140, 874, 437, 177 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 709, 140, 874, 437, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 709,140,874,437,177

Given numbers are 709,140,874,437,177

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

The LCM of 709,140,874,437,177 is 7677661740.

Find LCM of 709,140,874,437,177 with Prime Factorization


2 709, 140, 874, 437, 177
19 709, 70, 437, 437, 177
23 709, 70, 23, 23, 177
709, 70, 1, 1, 177

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

2 x 19 x 23 x 709 x 70 x 1 x 1 x 177 = 7677661740

Therefore, the lowest common multiple of 709,140,874,437,177 is 7677661740.

LCM Formula to Find Lowest Common Multiple of 709,140,874,437,177

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.

709 x 140 x 874 x 437 x 177 = 6710276360760

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.

709 : 1, 709

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

874 : 1, 2, 19, 23, 38, 46, 437, 874

437 : 1, 19, 23, 437

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,140,874,437,177, is 1.

Now, the common factors can be found like this.

709:709

140:2x 2x 5x 7

874:2x 19x 23

437:19x 23

177:3x 59

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

2x 19x 23 = 874

Therefore, the value for common factors is 874.

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 = 6710276360760/(1x874)

LCM = 6710276360760/874

LCM = 7677661740

Thus, we can understand that the LCM of 709,140,874,437,177 is 7677661740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 709, 140, 874, 437, 177

1. What is the LCM of 709, 140, 874, 437, 177?

Answer: LCM of 709, 140, 874, 437, 177 is 7677661740.

2. How to calculate the LCM of 709, 140, 874, 437, 177?

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 709, 140, 874, 437, 177.

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}.