Least Common Multiple of 900/994, 632/667, 985/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/994, 632/667, 985/948 quickly i.e. 28013400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/994, 632/667, 985/948 is 28013400.

LCM(900/994, 632/667, 985/948) = 28013400

LCM of 900/994, 632/667, 985/948

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 900/994,632/667,985/948

Given numbers are 900/994,632/667,985/948

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 900,632,985

Least Common Multiple of Numerators i.e. LCM of 900,632,985 is 28013400.

GCF of Denominators means GCF of 994,667,948 as per the given fractions.

GCF of 994,667,948 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,632,985

LCM of Fractions 900/994,632/667,985/948 is 28013400

2 900, 632, 985
2 450, 316, 985
5 225, 158, 985
45, 158, 197

∴ So the LCM of the given numbers is 2 x 2 x 5 x 45 x 158 x 197 = 28013400

Least Common Multiple of 900,632,985 with GCF Formula

Least Common Multiple of 900,632,985 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 900,632,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,632,985) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(900,632,985) x common factors =1 x 20 = 20

LCM(900,632,985) = ( 900 × 632 × 985 ) / 20

LCM(900,632,985) = 560268000 / 20

LCM(900,632,985) = 28013400


Lets's calculate GCF of 994,667,948

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28013400/1

Therefore the LCM of Fractions 900/994,632/667,985/948 is 28013400

Greatest Common Factor of 994,667,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,667,948 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 994,667,948 . The biggest common factor number is the GCF number.
So the greatest common factor 994,667,948 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 900/994, 632/667, 985/948

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 900/994, 632/667, 985/948?

Answer: LCM of Numerators as per given numbers 900/994, 632/667, 985/948 is

LCM of Numerators i.e. for 900,632,985 is 28013400

GCF of denominators i.e. for 994,667,948 is 1.

Thus, LCM of Fractions is 28013400.Finally, LCM of Fractions for 900/994, 632/667, 985/948 is 28013400.