Least Common Multiple of 994/34, 440/89, 962/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 994/34, 440/89, 962/625 quickly i.e. 105185080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 994/34, 440/89, 962/625 is 105185080.

LCM(994/34, 440/89, 962/625) = 105185080

LCM of 994/34, 440/89, 962/625

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 994/34,440/89,962/625

Given numbers are 994/34,440/89,962/625

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 994,440,962

Least Common Multiple of Numerators i.e. LCM of 994,440,962 is 105185080.

GCF of Denominators means GCF of 34,89,625 as per the given fractions.

GCF of 34,89,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 994,440,962

LCM of Fractions 994/34,440/89,962/625 is 105185080

2 994, 440, 962
497, 220, 481

∴ So the LCM of the given numbers is 2 x 497 x 220 x 481 = 105185080

Least Common Multiple of 994,440,962 with GCF Formula

Least Common Multiple of 994,440,962 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 994,440,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,440,962) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(994,440,962) x common factors =2 x 2 = 4

LCM(994,440,962) = ( 994 × 440 × 962 ) / 4

LCM(994,440,962) = 420740320 / 4

LCM(994,440,962) = 105185080


Lets's calculate GCF of 34,89,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105185080/1

Therefore the LCM of Fractions 994/34,440/89,962/625 is 105185080

Greatest Common Factor of 34,89,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,89,625 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 34,89,625 . The biggest common factor number is the GCF number.
So the greatest common factor 34,89,625 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 994/34, 440/89, 962/625

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 994/34, 440/89, 962/625?

Answer: LCM of Numerators as per given numbers 994/34, 440/89, 962/625 is

LCM of Numerators i.e. for 994,440,962 is 105185080

GCF of denominators i.e. for 34,89,625 is 1.

Thus, LCM of Fractions is 105185080.Finally, LCM of Fractions for 994/34, 440/89, 962/625 is 105185080.