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LCM for 30 and 245

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 245?

Answer

LCM of 30 and 245 is 1,470

(One thousand, four hundred seventy)

Finding LCM for 30 and 245 using GCF of these numbers

The first method to find LCM for numbers 30 and 245 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 245 is 5, so

LCM = (30 × 245) ÷ 5

LCM = 7350 ÷ 5

LCM = 1470

Finding LCM for 30 and 245 by Listing Multiples

The second method to find LCM for numbers 30 and 245 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

Multiples of 245: 245, 490, 735, 980, 1225, 1470, 1715, 1960

So the LCM for 30 and 245 is 1470

Finding LCM for 30 and 245 by Prime Factorization

Another method to find LCM for numbers 30 and 245 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 245: 5, 7, 7 (exponent form: 51, 72)

21 × 31 × 51 × 72 = 1470

Related Calculations

See Also

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What is the LCM of 30 and 245?. Find the LCM of 30 and 245 - the smallest common multiple of two integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/30--245/generated.jpgCopy

LCM Table

Number 1Number 2LCM
15245735
162453920
172454165
182454410
192454655
20245980
21245735
222455390
232455635
242455880
252451225
262456370
272456615
28245980
292457105
302451470
312457595
322457840
332458085
342458330
35245245
362458820
372459065
382459310
392459555
402451960
4124510045
422451470
4324510535
4424510780

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 30 and 245? (The answer is: 1470). Select the first number (e.g. '30') and the second number (e.g. '245'). 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

FAQ

What's the Least Common Multiple (LCM) of 30 and 245?

LCM of 30 and 245 is 1,470

How to find the LCM of 30 and 245 using prime factorization?

To find the LCM of 30 and 245, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,470.

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 30 and 245: LCM = 1,470, GCF = 5.

See Also