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LCM of 756, 965, 648, 749

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


Find the LCM of 756, 965, 648, 749 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 756, 965, 648, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 756,965,648,749

Given numbers are 756,965,648,749

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

The LCM of 756,965,648,749 is 468364680.

Find LCM of 756,965,648,749 with Prime Factorization


2 756, 965, 648, 749
2 378, 965, 324, 749
3 189, 965, 162, 749
3 63, 965, 54, 749
3 21, 965, 18, 749
7 7, 965, 6, 749
1, 965, 6, 107

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

2 x 2 x 3 x 3 x 3 x 7 x 1 x 965 x 6 x 107 = 468364680

Therefore, the lowest common multiple of 756,965,648,749 is 468364680.

LCM Formula to Find Lowest Common Multiple of 756,965,648,749

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.

756 x 965 x 648 x 749 = 354083698080

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

965 : 1, 5, 193, 965

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,965,648,749, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

965:5x 193

648:2x 2x 2x 3x 3x 3x 3

749:7x 107

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 3x 3x 3x 7 = 756

Therefore, the value for common factors is 756.

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 = 354083698080/(1x756)

LCM = 354083698080/756

LCM = 468364680

Thus, we can understand that the LCM of 756,965,648,749 is 468364680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 756, 965, 648, 749

1. What is the LCM of 756, 965, 648, 749?

Answer: LCM of 756, 965, 648, 749 is 468364680.

2. How to calculate the LCM of 756, 965, 648, 749?

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 756, 965, 648, 749.

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}.