LCM for 30 and 275
What's the Least Common Multiple (LCM) of 30 and 275?
Answer
(One thousand, six hundred fifty)
Finding LCM for 30 and 275 using GCF of these numbers
The first method to find LCM for numbers 30 and 275 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 30 and 275 is 5, so
LCM = (30 × 275) ÷ 5
LCM = 8250 ÷ 5
LCM = 1650
Finding LCM for 30 and 275 by Listing Multiples
The second method to find LCM for numbers 30 and 275 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930, 960, 990, 1020, 1050, 1080, 1110, 1140, 1170, 1200, 1230, 1260, 1290, 1320, 1350, 1380, 1410, 1440, 1470, 1500, 1530, 1560, 1590, 1620, 1650, 1680, 1710
Multiples of 275: 275, 550, 825, 1100, 1375, 1650, 1925, 2200
So the LCM for 30 and 275 is 1650
Finding LCM for 30 and 275 by Prime Factorization
Another method to find LCM for numbers 30 and 275 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)
All Prime Factors of 275: 5, 5, 11 (exponent form: 52, 111)
21 × 31 × 52 × 111 = 1650
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/30--275">What is the LCM of 30 and 275? - Calculatio</a>
LCM Table
About "Least Common Multiple" Calculator
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