Least Common Multiple of 740/64, 238/76, 510/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 740/64, 238/76, 510/888 quickly i.e. 66045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 740/64, 238/76, 510/888 is 66045.

LCM(740/64, 238/76, 510/888) = 66045

LCM of 740/64, 238/76, 510/888

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 740/64,238/76,510/888

Given numbers are 740/64,238/76,510/888

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 740,238,510

Least Common Multiple of Numerators i.e. LCM of 740,238,510 is 264180.

GCF of Denominators means GCF of 64,76,888 as per the given fractions.

GCF of 64,76,888 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 740,238,510

LCM of Fractions 740/64,238/76,510/888 is 66045

2 740, 238, 510
5 370, 119, 255
17 74, 119, 51
74, 7, 3

∴ So the LCM of the given numbers is 2 x 5 x 17 x 74 x 7 x 3 = 264180

Least Common Multiple of 740,238,510 with GCF Formula

Least Common Multiple of 740,238,510 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 740,238,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,238,510) = 2

common factors(in case of two or more numbers have common factors) = 170

GCF(740,238,510) x common factors =2 x 170 = 340

LCM(740,238,510) = ( 740 × 238 × 510 ) / 340

LCM(740,238,510) = 89821200 / 340

LCM(740,238,510) = 264180


Lets's calculate GCF of 64,76,888

2 64, 76, 888
2 32, 38, 444
16, 19, 222

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264180/4

Therefore the LCM of Fractions 740/64,238/76,510/888 is 66045

Greatest Common Factor of 64,76,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,76,888 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 64,76,888 . The biggest common factor number is the GCF number.
So the greatest common factor 64,76,888 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 740/64, 238/76, 510/888

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 740/64, 238/76, 510/888?

Answer: LCM of Numerators as per given numbers 740/64, 238/76, 510/888 is

LCM of Numerators i.e. for 740,238,510 is 264180

GCF of denominators i.e. for 64,76,888 is 4.

Thus, LCM of Fractions is 66045.Finally, LCM of Fractions for 740/64, 238/76, 510/888 is 66045.