LCM for 60 and 290

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 290?

Answer

LCM of 60 and 290 is 1,740

(One thousand, seven hundred forty)

Finding LCM for 60 and 290 using GCF of these numbers

The first method to find LCM for numbers 60 and 290 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 290 is 10, so

LCM = (60 × 290) ÷ 10

LCM = 17400 ÷ 10

LCM = 1740

Finding LCM for 60 and 290 by Listing Multiples

The second method to find LCM for numbers 60 and 290 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860

Multiples of 290: 290, 580, 870, 1160, 1450, 1740, 2030, 2320

So the LCM for 60 and 290 is 1740

Finding LCM for 60 and 290 by Prime Factorization

Another method to find LCM for numbers 60 and 290 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

All Prime Factors of 290: 2, 5, 29 (exponent form: 21, 51, 291)

22 × 31 × 51 × 291 = 1740

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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 60 and 290? (The answer is: 1740). Select the first number (e.g. '60') and the second number (e.g. '290'). 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

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
452902610
462906670
4729013630
482906960
4929014210
502901450
5129014790
522907540
5329015370
542907830
552903190
562908120
5729016530
58290290
5929017110
602901740
6129017690
622908990
6329018270
642909280
652903770
662909570
6729019430
682909860
6929020010
702902030
7129020590
7229010440
7329021170
7429010730

FAQ

What's the Least Common Multiple (LCM) of 60 and 290?

LCM of 60 and 290 is 1,740

How to find the LCM of 60 and 290 using prime factorization?

To find the LCM of 60 and 290, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,740.

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 60 and 290: LCM = 1,740, GCF = 10.

See Also