Least Common Multiple of 60/260, 508/24, 904/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/260, 508/24, 904/760 quickly i.e. 430530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/260, 508/24, 904/760 is 430530.

LCM(60/260, 508/24, 904/760) = 430530

LCM of 60/260, 508/24, 904/760

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 60/260,508/24,904/760

Given numbers are 60/260,508/24,904/760

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 60,508,904

Least Common Multiple of Numerators i.e. LCM of 60,508,904 is 1722120.

GCF of Denominators means GCF of 260,24,760 as per the given fractions.

GCF of 260,24,760 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,508,904

LCM of Fractions 60/260,508/24,904/760 is 430530

2 60, 508, 904
2 30, 254, 452
15, 127, 226

∴ So the LCM of the given numbers is 2 x 2 x 15 x 127 x 226 = 1722120

Least Common Multiple of 60,508,904 with GCF Formula

Least Common Multiple of 60,508,904 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 60,508,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,508,904) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(60,508,904) x common factors =4 x 4 = 16

LCM(60,508,904) = ( 60 × 508 × 904 ) / 16

LCM(60,508,904) = 27553920 / 16

LCM(60,508,904) = 1722120


Lets's calculate GCF of 260,24,760

2 260, 24, 760
2 130, 12, 380
65, 6, 190

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1722120/4

Therefore the LCM of Fractions 60/260,508/24,904/760 is 430530

Greatest Common Factor of 260,24,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,24,760 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

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 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 260,24,760 . The biggest common factor number is the GCF number.
So the greatest common factor 260,24,760 is 4.


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 60/260, 508/24, 904/760

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 60/260, 508/24, 904/760?

Answer: LCM of Numerators as per given numbers 60/260, 508/24, 904/760 is

LCM of Numerators i.e. for 60,508,904 is 1722120

GCF of denominators i.e. for 260,24,760 is 4.

Thus, LCM of Fractions is 430530.Finally, LCM of Fractions for 60/260, 508/24, 904/760 is 430530.