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LCM of 763, 761, 336, 894

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


Find the LCM of 763, 761, 336, 894 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 763, 761, 336, 894. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 763,761,336,894

Given numbers are 763,761,336,894

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

The LCM of 763,761,336,894 is 4152758736.

Find LCM of 763,761,336,894 with Prime Factorization


2 763, 761, 336, 894
3 763, 761, 168, 447
7 763, 761, 56, 149
109, 761, 8, 149

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

2 x 3 x 7 x 109 x 761 x 8 x 149 = 4152758736

Therefore, the lowest common multiple of 763,761,336,894 is 4152758736.

LCM Formula to Find Lowest Common Multiple of 763,761,336,894

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.

763 x 761 x 336 x 894 = 174415866912

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.

763 : 1, 7, 109, 763

761 : 1, 761

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

894 : 1, 2, 3, 6, 149, 298, 447, 894

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,761,336,894, is 1.

Now, the common factors can be found like this.

763:7x 109

761:761

336:2x 2x 2x 2x 3x 7

894:2x 3x 149

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 7 = 42

Therefore, the value for common factors is 42.

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 = 174415866912/(1x42)

LCM = 174415866912/42

LCM = 4152758736

Thus, we can understand that the LCM of 763,761,336,894 is 4152758736.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 763, 761, 336, 894

1. What is the LCM of 763, 761, 336, 894?

Answer: LCM of 763, 761, 336, 894 is 4152758736.

2. How to calculate the LCM of 763, 761, 336, 894?

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 763, 761, 336, 894.

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}.