Least Common Multiple of 1527/678, 9934/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1527/678, 9934/943 quickly i.e. 15169218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1527/678, 9934/943 is 15169218.

LCM(1527/678, 9934/943) = 15169218

LCM of 1527/678, 9934/943

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 1527/678,9934/943

Given numbers are 1527/678,9934/943

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 1527,9934

Least Common Multiple of Numerators i.e. LCM of 1527,9934 is 15169218.

GCF of Denominators means GCF of 678,943 as per the given fractions.

GCF of 678,943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1527,9934

LCM of Fractions 1527/678,9934/943 is 15169218

Given numbers has no common factors except 1. So, there LCM is their product i.e 15169218

Least Common Multiple of 1527,9934 with GCF Formula

Least Common Multiple of 1527,9934 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 1527,9934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1527,9934) = 1

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

GCF(1527,9934) x common factors =1 x 1 = 1

LCM(1527,9934) = ( 1527 × 9934 ) / 1

LCM(1527,9934) = 15169218 / 1

LCM(1527,9934) = 15169218


Lets's calculate GCF of 678,943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15169218/1

Therefore the LCM of Fractions 1527/678,9934/943 is 15169218

Greatest Common Factor of 678,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,943 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 678,943 . The biggest common factor number is the GCF number.
So the greatest common factor 678,943 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1527/678, 9934/943

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 1527/678, 9934/943?

Answer: LCM of Numerators as per given numbers 1527/678, 9934/943 is

LCM of Numerators i.e. for 1527,9934 is 15169218

GCF of denominators i.e. for 678,943 is 1.

Thus, LCM of Fractions is 15169218.Finally, LCM of Fractions for 1527/678, 9934/943 is 15169218.