Least Common Multiple of 84/681, 987/223, 600/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/681, 987/223, 600/951 quickly i.e. 197400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/681, 987/223, 600/951 is 197400.

LCM(84/681, 987/223, 600/951) = 197400

LCM of 84/681, 987/223, 600/951

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 84/681,987/223,600/951

Given numbers are 84/681,987/223,600/951

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 84,987,600

Least Common Multiple of Numerators i.e. LCM of 84,987,600 is 197400.

GCF of Denominators means GCF of 681,223,951 as per the given fractions.

GCF of 681,223,951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,987,600

LCM of Fractions 84/681,987/223,600/951 is 197400

2 84, 987, 600
2 42, 987, 300
3 21, 987, 150
7 7, 329, 50
1, 47, 50

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 47 x 50 = 197400

Least Common Multiple of 84,987,600 with GCF Formula

Least Common Multiple of 84,987,600 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 84,987,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,987,600) = 3

common factors(in case of two or more numbers have common factors) = 84

GCF(84,987,600) x common factors =3 x 84 = 252

LCM(84,987,600) = ( 84 × 987 × 600 ) / 252

LCM(84,987,600) = 49744800 / 252

LCM(84,987,600) = 197400


Lets's calculate GCF of 681,223,951

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197400/1

Therefore the LCM of Fractions 84/681,987/223,600/951 is 197400

Greatest Common Factor of 681,223,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,223,951 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 681,223,951 . The biggest common factor number is the GCF number.
So the greatest common factor 681,223,951 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 84/681, 987/223, 600/951

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 84/681, 987/223, 600/951?

Answer: LCM of Numerators as per given numbers 84/681, 987/223, 600/951 is

LCM of Numerators i.e. for 84,987,600 is 197400

GCF of denominators i.e. for 681,223,951 is 1.

Thus, LCM of Fractions is 197400.Finally, LCM of Fractions for 84/681, 987/223, 600/951 is 197400.