Least Common Multiple of 45/625, 97/664, 633/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/625, 97/664, 633/494 quickly i.e. 921015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/625, 97/664, 633/494 is 921015.

LCM(45/625, 97/664, 633/494) = 921015

LCM of 45/625, 97/664, 633/494

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 45/625,97/664,633/494

Given numbers are 45/625,97/664,633/494

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 45,97,633

Least Common Multiple of Numerators i.e. LCM of 45,97,633 is 921015.

GCF of Denominators means GCF of 625,664,494 as per the given fractions.

GCF of 625,664,494 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,97,633

LCM of Fractions 45/625,97/664,633/494 is 921015

3 45, 97, 633
15, 97, 211

∴ So the LCM of the given numbers is 3 x 15 x 97 x 211 = 921015

Least Common Multiple of 45,97,633 with GCF Formula

Least Common Multiple of 45,97,633 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 45,97,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,97,633) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(45,97,633) x common factors =1 x 3 = 3

LCM(45,97,633) = ( 45 × 97 × 633 ) / 3

LCM(45,97,633) = 2763045 / 3

LCM(45,97,633) = 921015


Lets's calculate GCF of 625,664,494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 921015/1

Therefore the LCM of Fractions 45/625,97/664,633/494 is 921015

Greatest Common Factor of 625,664,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,664,494 By Matching Biggest Common Factor Method

Factors of 625

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

1,5,25,125,625

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 625,664,494 . The biggest common factor number is the GCF number.
So the greatest common factor 625,664,494 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 45/625, 97/664, 633/494

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 45/625, 97/664, 633/494?

Answer: LCM of Numerators as per given numbers 45/625, 97/664, 633/494 is

LCM of Numerators i.e. for 45,97,633 is 921015

GCF of denominators i.e. for 625,664,494 is 1.

Thus, LCM of Fractions is 921015.Finally, LCM of Fractions for 45/625, 97/664, 633/494 is 921015.