Least Common Multiple of 95/43, 789/67, 421/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 95/43, 789/67, 421/890 quickly i.e. 31556055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/43, 789/67, 421/890 is 31556055.

LCM(95/43, 789/67, 421/890) = 31556055

LCM of 95/43, 789/67, 421/890

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 95/43,789/67,421/890

Given numbers are 95/43,789/67,421/890

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 95,789,421

Least Common Multiple of Numerators i.e. LCM of 95,789,421 is 31556055.

GCF of Denominators means GCF of 43,67,890 as per the given fractions.

GCF of 43,67,890 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,789,421

LCM of Fractions 95/43,789/67,421/890 is 31556055

Given numbers has no common factors except 1. So, there LCM is their product i.e 31556055

Least Common Multiple of 95,789,421 with GCF Formula

Least Common Multiple of 95,789,421 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 95,789,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,789,421) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(95,789,421) x common factors =1 x 1 = 1

LCM(95,789,421) = ( 95 × 789 × 421 ) / 1

LCM(95,789,421) = 31556055 / 1

LCM(95,789,421) = 31556055


Lets's calculate GCF of 43,67,890

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31556055/1

Therefore the LCM of Fractions 95/43,789/67,421/890 is 31556055

Greatest Common Factor of 43,67,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,67,890 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 43,67,890 . The biggest common factor number is the GCF number.
So the greatest common factor 43,67,890 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 95/43, 789/67, 421/890

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 95/43, 789/67, 421/890?

Answer: LCM of Numerators as per given numbers 95/43, 789/67, 421/890 is

LCM of Numerators i.e. for 95,789,421 is 31556055

GCF of denominators i.e. for 43,67,890 is 1.

Thus, LCM of Fractions is 31556055.Finally, LCM of Fractions for 95/43, 789/67, 421/890 is 31556055.