Least Common Multiple of 45/987, 19/279, 307/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/987, 19/279, 307/670 quickly i.e. 262485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/987, 19/279, 307/670 is 262485.

LCM(45/987, 19/279, 307/670) = 262485

LCM of 45/987, 19/279, 307/670

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 45/987,19/279,307/670

Given numbers are 45/987,19/279,307/670

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 45,19,307

Least Common Multiple of Numerators i.e. LCM of 45,19,307 is 262485.

GCF of Denominators means GCF of 987,279,670 as per the given fractions.

GCF of 987,279,670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,19,307

LCM of Fractions 45/987,19/279,307/670 is 262485

Given numbers has no common factors except 1. So, there LCM is their product i.e 262485

Least Common Multiple of 45,19,307 with GCF Formula

Least Common Multiple of 45,19,307 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 45,19,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,19,307) = 1

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

GCF(45,19,307) x common factors =1 x 1 = 1

LCM(45,19,307) = ( 45 × 19 × 307 ) / 1

LCM(45,19,307) = 262485 / 1

LCM(45,19,307) = 262485


Lets's calculate GCF of 987,279,670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262485/1

Therefore the LCM of Fractions 45/987,19/279,307/670 is 262485

Greatest Common Factor of 987,279,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,279,670 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 987,279,670 . The biggest common factor number is the GCF number.
So the greatest common factor 987,279,670 is 1.


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 45/987, 19/279, 307/670

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 45/987, 19/279, 307/670?

Answer: LCM of Numerators as per given numbers 45/987, 19/279, 307/670 is

LCM of Numerators i.e. for 45,19,307 is 262485

GCF of denominators i.e. for 987,279,670 is 1.

Thus, LCM of Fractions is 262485.Finally, LCM of Fractions for 45/987, 19/279, 307/670 is 262485.