Least Common Multiple of 15/30, 60/24, 770/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/30, 60/24, 770/280 quickly i.e. 2310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/30, 60/24, 770/280 is 2310.

LCM(15/30, 60/24, 770/280) = 2310

LCM of 15/30, 60/24, 770/280

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 15/30,60/24,770/280

Given numbers are 15/30,60/24,770/280

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 15,60,770

Least Common Multiple of Numerators i.e. LCM of 15,60,770 is 4620.

GCF of Denominators means GCF of 30,24,280 as per the given fractions.

GCF of 30,24,280 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,60,770

LCM of Fractions 15/30,60/24,770/280 is 2310

2 15, 60, 770
3 15, 30, 385
5 5, 10, 385
1, 2, 77

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 2 x 77 = 4620

Least Common Multiple of 15,60,770 with GCF Formula

Least Common Multiple of 15,60,770 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 15,60,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,60,770) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(15,60,770) x common factors =5 x 30 = 150

LCM(15,60,770) = ( 15 × 60 × 770 ) / 150

LCM(15,60,770) = 693000 / 150

LCM(15,60,770) = 4620


Lets's calculate GCF of 30,24,280

2 30, 24, 280
15, 12, 140

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4620/2

Therefore the LCM of Fractions 15/30,60/24,770/280 is 2310

Greatest Common Factor of 30,24,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,24,280 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 30,24,280 . The biggest common factor number is the GCF number.
So the greatest common factor 30,24,280 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 15/30, 60/24, 770/280

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 15/30, 60/24, 770/280?

Answer: LCM of Numerators as per given numbers 15/30, 60/24, 770/280 is

LCM of Numerators i.e. for 15,60,770 is 4620

GCF of denominators i.e. for 30,24,280 is 2.

Thus, LCM of Fractions is 2310.Finally, LCM of Fractions for 15/30, 60/24, 770/280 is 2310.