LCM for 270 and 900

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What's the Least Common Multiple (LCM) of 270 and 900?

Answer

LCM of 270 and 900 is
2,700

(Two thousand seven hundred)

Finding LCM for 270 and 900 using GCF of these numbers

The first method to find LCM for numbers 270 and 900 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 270 and 900 is 90, so

LCM = (270 × 900) ÷ 90

LCM = 243,000 ÷ 90

LCM = 2,700

Finding LCM for 270 and 900 by Listing Multiples

The second method to find LCM for numbers 270 and 900 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 270: 270, 540, 810, 1,080, 1,350, 1,620, 1,890, 2,160, 2,430, 2,700, 2,970, 3,240

Multiples of 900: 900, 1,800, 2,700, 3,600, 4,500

So the LCM for 270 and 900 is 2,700

Finding LCM for 270 and 900 by Prime Factorization

Another method to find LCM for numbers 270 and 900 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 270: 2, 3, 3, 3, 5 (exponent form: 21, 33, 51)

All Prime Factors of 900: 2, 2, 3, 3, 5, 5 (exponent form: 22, 32, 52)

22 × 33 × 52 = 2,700

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 270 and 900? (The answer is: 2,700). Select the first number (e.g. '270') and the second number (e.g. '900'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
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LCM Table

Number 1Number 2LCM
27088515,930
270886119,610
270887239,490
27088839,960
270889240,030
27089024,030
2708918,910
270892120,420
270893241,110
27089440,230
27089548,330
270896120,960
27089780,730
270898121,230
270899242,730
2709002,700
270901243,270
270902121,770
27090381,270
270904122,040
27090548,870
27090640,770
270907244,890
270908122,580
27090927,270
27091024,570
270911245,970
27091241,040
270913246,510
270914123,390

FAQ

What's the Least Common Multiple (LCM) of 270 and 900?

LCM of 270 and 900 is 2,700

How to find the LCM of 270 and 900 using prime factorization?

To find the LCM of 270 and 900, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,700.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 270 and 900: LCM = 2,700, GCF = 90.

See Also