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LCM of 724, 781, 901, 102

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


Find the LCM of 724, 781, 901, 102 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 724, 781, 901, 102. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 724,781,901,102

Given numbers are 724,781,901,102

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

The LCM of 724,781,901,102 is 1528395132.

Find LCM of 724,781,901,102 with Prime Factorization


2 724, 781, 901, 102
17 362, 781, 901, 51
362, 781, 53, 3

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

2 x 17 x 362 x 781 x 53 x 3 = 1528395132

Therefore, the lowest common multiple of 724,781,901,102 is 1528395132.

LCM Formula to Find Lowest Common Multiple of 724,781,901,102

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.

724 x 781 x 901 x 102 = 51965434488

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.

724 : 1, 2, 4, 181, 362, 724

781 : 1, 11, 71, 781

901 : 1, 17, 53, 901

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,781,901,102, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

781:11x 71

901:17x 53

102:2x 3x 17

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 51965434488/(1x34)

LCM = 51965434488/34

LCM = 1528395132

Thus, we can understand that the LCM of 724,781,901,102 is 1528395132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 724, 781, 901, 102

1. What is the LCM of 724, 781, 901, 102?

Answer: LCM of 724, 781, 901, 102 is 1528395132.

2. How to calculate the LCM of 724, 781, 901, 102?

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 724, 781, 901, 102.

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}.