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LCM of 730, 763, 392, 942

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


Find the LCM of 730, 763, 392, 942 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 730, 763, 392, 942. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 730,763,392,942

Given numbers are 730,763,392,942

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

The LCM of 730,763,392,942 is 7345584120.

Find LCM of 730,763,392,942 with Prime Factorization


2 730, 763, 392, 942
7 365, 763, 196, 471
365, 109, 28, 471

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

2 x 7 x 365 x 109 x 28 x 471 = 7345584120

Therefore, the lowest common multiple of 730,763,392,942 is 7345584120.

LCM Formula to Find Lowest Common Multiple of 730,763,392,942

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.

730 x 763 x 392 x 942 = 205676355360

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

763 : 1, 7, 109, 763

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

942 : 1, 2, 3, 6, 157, 314, 471, 942

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,763,392,942, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

763:7x 109

392:2x 2x 2x 7x 7

942:2x 3x 157

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 7 = 28

Therefore, the value for common factors is 28.

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 = 205676355360/(1x28)

LCM = 205676355360/28

LCM = 7345584120

Thus, we can understand that the LCM of 730,763,392,942 is 7345584120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 730, 763, 392, 942

1. What is the LCM of 730, 763, 392, 942?

Answer: LCM of 730, 763, 392, 942 is 7345584120.

2. How to calculate the LCM of 730, 763, 392, 942?

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 730, 763, 392, 942.

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}.