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LCM of 749, 923, 307, 642

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


Find the LCM of 749, 923, 307, 642 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 749, 923, 307, 642. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 749,923,307,642

Given numbers are 749,923,307,642

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

The LCM of 749,923,307,642 is 1273424334.

Find LCM of 749,923,307,642 with Prime Factorization


107 749, 923, 307, 642
7, 923, 307, 6

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

107 x 7 x 923 x 307 x 6 = 1273424334

Therefore, the lowest common multiple of 749,923,307,642 is 1273424334.

LCM Formula to Find Lowest Common Multiple of 749,923,307,642

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.

749 x 923 x 307 x 642 = 136256403738

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.

749 : 1, 7, 107, 749

923 : 1, 13, 71, 923

307 : 1, 307

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,923,307,642, is 1.

Now, the common factors can be found like this.

749:7x 107

923:13x 71

307:307

642:2x 3x 107

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

107 = 107

Therefore, the value for common factors is 107.

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 = 136256403738/(1x107)

LCM = 136256403738/107

LCM = 1273424334

Thus, we can understand that the LCM of 749,923,307,642 is 1273424334.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 749, 923, 307, 642

1. What is the LCM of 749, 923, 307, 642?

Answer: LCM of 749, 923, 307, 642 is 1273424334.

2. How to calculate the LCM of 749, 923, 307, 642?

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 749, 923, 307, 642.

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}.