Least Common Multiple of 429, 918, 384, 814, 980

Q: How to Find the LCM of 429, 918, 384, 814, 980 ?

Least Common Multiple of 429, 918, 384, 814, 980 = 76159923840 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(429, 918, 384, 814, 980) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 11 x 13 x 17 x 37 = 76159923840.

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 429, 918, 384, 814, 980 i.e. 76159923840 smallest integer divisible by all numbers.

Least common multiple (LCM) of 429, 918, 384, 814, 980 is 76159923840.

LCM(429, 918, 384, 814, 980) = 76159923840

LCM of 429, 918, 384, 814, 980

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

Least Common Multiple of 429, 918, 384, 814, 980 by common division method
Least Common Multiple of 429, 918, 384, 814, 980 with GCF Formula

Least Common Multiple of 429,918,384,814,980

Least Common Multiple (LCM) of 429,918,384,814,980 is 76159923840

2	429, 918, 384, 814, 980
2	429, 459, 192, 407, 490
3	429, 459, 96, 407, 245
11	143, 153, 32, 407, 245
	13, 153, 32, 37, 245

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 13 x 153 x 32 x 37 x 245 = 76159923840

Least Common Multiple of 429,918,384,814,980 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 429,918,384,814,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,918,384,814,980) = 1

common factors(in case of two or more numbers have common factors) = 1584

GCF(429,918,384,814,980) x common factors =1 x 1584 = 1584

LCM(429,918,384,814,980) = ( 429 × 918 × 384 × 814 × 980 ) / 1584

LCM(429,918,384,814,980) = 120637319362560 / 1584

LCM(429,918,384,814,980) = 76159923840

∴ Least Common Multiple of 429,918,384,814,980 is 76159923840

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 429, 918, 384, 814, 980

1. What is the LCM of 429, 918, 384, 814, 980?

Answer: LCM of 429, 918, 384, 814, 980 is 76159923840.

2. What are the Factors of 76159923840?

Answer: Factors of 76159923840 are . There are integers that are factors of 76159923840

3. How to Find the LCM of 429, 918, 384, 814, 980 ?

Least Common Multiple of 429, 918, 384, 814, 980.

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(429, 918, 384, 814, 980) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 11 x 13 x 17 x 37 = 76159923840.