Least Common Multiple of 748, 276, 642, 814, 490

Q: How to Find the LCM of 748, 276, 642, 814, 490 ?

Least Common Multiple of 748, 276, 642, 814, 490 = 50061317460 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(748, 276, 642, 814, 490) = 2 x 2 x 3 x 5 x 7 x 7 x 11 x 17 x 23 x 37 x 107 = 50061317460.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 748, 276, 642, 814, 490 i.e. 50061317460 smallest integer divisible by all numbers.

Least common multiple (LCM) of 748, 276, 642, 814, 490 is 50061317460.

LCM(748, 276, 642, 814, 490) = 50061317460

LCM of 748, 276, 642, 814, 490

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 748, 276, 642, 814, 490 by common division method
Least Common Multiple of 748, 276, 642, 814, 490 with GCF Formula

Least Common Multiple of 748,276,642,814,490

Least Common Multiple (LCM) of 748,276,642,814,490 is 50061317460

2	748, 276, 642, 814, 490
2	374, 138, 321, 407, 245
3	187, 69, 321, 407, 245
11	187, 23, 107, 407, 245
	17, 23, 107, 37, 245

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 17 x 23 x 107 x 37 x 245 = 50061317460

Least Common Multiple of 748,276,642,814,490 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 748,276,642,814,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,276,642,814,490) = 2

common factors(in case of two or more numbers have common factors) = 528

GCF(748,276,642,814,490) x common factors =2 x 528 = 1056

LCM(748,276,642,814,490) = ( 748 × 276 × 642 × 814 × 490 ) / 1056

LCM(748,276,642,814,490) = 52864751237760 / 1056

LCM(748,276,642,814,490) = 50061317460

∴ Least Common Multiple of 748,276,642,814,490 is 50061317460

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 748, 276, 642, 814, 490

1. What is the LCM of 748, 276, 642, 814, 490?

Answer: LCM of 748, 276, 642, 814, 490 is 50061317460.

2. What are the Factors of 50061317460?

Answer: Factors of 50061317460 are . There are integers that are factors of 50061317460

3. How to Find the LCM of 748, 276, 642, 814, 490 ?

Least Common Multiple of 748, 276, 642, 814, 490.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(748, 276, 642, 814, 490) = 2 x 2 x 3 x 5 x 7 x 7 x 11 x 17 x 23 x 37 x 107 = 50061317460.