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LCM of 649, 895, 748, 402

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


Find the LCM of 649, 895, 748, 402 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 649, 895, 748, 402. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 649,895,748,402

Given numbers are 649,895,748,402

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

The LCM of 649,895,748,402 is 7939126140.

Find LCM of 649,895,748,402 with Prime Factorization


2 649, 895, 748, 402
11 649, 895, 374, 201
59, 895, 34, 201

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

2 x 11 x 59 x 895 x 34 x 201 = 7939126140

Therefore, the lowest common multiple of 649,895,748,402 is 7939126140.

LCM Formula to Find Lowest Common Multiple of 649,895,748,402

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.

649 x 895 x 748 x 402 = 174660775080

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.

649 : 1, 11, 59, 649

895 : 1, 5, 179, 895

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,895,748,402, is 1.

Now, the common factors can be found like this.

649:11x 59

895:5x 179

748:2x 2x 11x 17

402:2x 3x 67

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 174660775080/(1x22)

LCM = 174660775080/22

LCM = 7939126140

Thus, we can understand that the LCM of 649,895,748,402 is 7939126140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 649, 895, 748, 402

1. What is the LCM of 649, 895, 748, 402?

Answer: LCM of 649, 895, 748, 402 is 7939126140.

2. How to calculate the LCM of 649, 895, 748, 402?

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 649, 895, 748, 402.

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}.