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LCM of 924, 807, 354, 749, 789

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


Find the LCM of 924, 807, 354, 749, 789 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 924, 807, 354, 749, 789. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 924,807,354,749,789

Given numbers are 924,807,354,749,789

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

The LCM of 924,807,354,749,789 is 412682249364.

Find LCM of 924,807,354,749,789 with Prime Factorization


2 924, 807, 354, 749, 789
3 462, 807, 177, 749, 789
7 154, 269, 59, 749, 263
22, 269, 59, 107, 263

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

2 x 3 x 7 x 22 x 269 x 59 x 107 x 263 = 412682249364

Therefore, the lowest common multiple of 924,807,354,749,789 is 412682249364.

LCM Formula to Find Lowest Common Multiple of 924,807,354,749,789

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.

924 x 807 x 354 x 749 x 789 = 155993890259592

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

807 : 1, 3, 269, 807

354 : 1, 2, 3, 6, 59, 118, 177, 354

749 : 1, 7, 107, 749

789 : 1, 3, 263, 789

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,807,354,749,789, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

807:3x 269

354:2x 3x 59

749:7x 107

789:3x 263

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

2x 3x 3x 3x 7 = 378

Therefore, the value for common factors is 378.

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 = 155993890259592/(1x378)

LCM = 155993890259592/378

LCM = 412682249364

Thus, we can understand that the LCM of 924,807,354,749,789 is 412682249364.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 924, 807, 354, 749, 789

1. What is the LCM of 924, 807, 354, 749, 789?

Answer: LCM of 924, 807, 354, 749, 789 is 412682249364.

2. How to calculate the LCM of 924, 807, 354, 749, 789?

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 924, 807, 354, 749, 789.

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}.