Least Common Multiple of 68/95, 628/59, 177/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 68/95, 628/59, 177/367 quickly i.e. 1889652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/95, 628/59, 177/367 is 1889652.

LCM(68/95, 628/59, 177/367) = 1889652

LCM of 68/95, 628/59, 177/367

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 68/95,628/59,177/367

Given numbers are 68/95,628/59,177/367

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 68,628,177

Least Common Multiple of Numerators i.e. LCM of 68,628,177 is 1889652.

GCF of Denominators means GCF of 95,59,367 as per the given fractions.

GCF of 95,59,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,628,177

LCM of Fractions 68/95,628/59,177/367 is 1889652

2 68, 628, 177
2 34, 314, 177
17, 157, 177

∴ So the LCM of the given numbers is 2 x 2 x 17 x 157 x 177 = 1889652

Least Common Multiple of 68,628,177 with GCF Formula

Least Common Multiple of 68,628,177 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 68,628,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,628,177) = 1

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

GCF(68,628,177) x common factors =1 x 4 = 4

LCM(68,628,177) = ( 68 × 628 × 177 ) / 4

LCM(68,628,177) = 7558608 / 4

LCM(68,628,177) = 1889652


Lets's calculate GCF of 95,59,367

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1889652/1

Therefore the LCM of Fractions 68/95,628/59,177/367 is 1889652

Greatest Common Factor of 95,59,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,59,367 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 95,59,367 . The biggest common factor number is the GCF number.
So the greatest common factor 95,59,367 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 68/95, 628/59, 177/367

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 68/95, 628/59, 177/367?

Answer: LCM of Numerators as per given numbers 68/95, 628/59, 177/367 is

LCM of Numerators i.e. for 68,628,177 is 1889652

GCF of denominators i.e. for 95,59,367 is 1.

Thus, LCM of Fractions is 1889652.Finally, LCM of Fractions for 68/95, 628/59, 177/367 is 1889652.