Least Common Multiple of 59/635, 97/492, 345/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/635, 97/492, 345/712 quickly i.e. 1974435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/635, 97/492, 345/712 is 1974435.

LCM(59/635, 97/492, 345/712) = 1974435

LCM of 59/635, 97/492, 345/712

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 59/635,97/492,345/712

Given numbers are 59/635,97/492,345/712

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 59,97,345

Least Common Multiple of Numerators i.e. LCM of 59,97,345 is 1974435.

GCF of Denominators means GCF of 635,492,712 as per the given fractions.

GCF of 635,492,712 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,97,345

LCM of Fractions 59/635,97/492,345/712 is 1974435

Given numbers has no common factors except 1. So, there LCM is their product i.e 1974435

Least Common Multiple of 59,97,345 with GCF Formula

Least Common Multiple of 59,97,345 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 59,97,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,97,345) = 1

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

GCF(59,97,345) x common factors =1 x 1 = 1

LCM(59,97,345) = ( 59 × 97 × 345 ) / 1

LCM(59,97,345) = 1974435 / 1

LCM(59,97,345) = 1974435


Lets's calculate GCF of 635,492,712

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1974435/1

Therefore the LCM of Fractions 59/635,97/492,345/712 is 1974435

Greatest Common Factor of 635,492,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 635,492,712 By Matching Biggest Common Factor Method

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 635,492,712 . The biggest common factor number is the GCF number.
So the greatest common factor 635,492,712 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 59/635, 97/492, 345/712

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 59/635, 97/492, 345/712?

Answer: LCM of Numerators as per given numbers 59/635, 97/492, 345/712 is

LCM of Numerators i.e. for 59,97,345 is 1974435

GCF of denominators i.e. for 635,492,712 is 1.

Thus, LCM of Fractions is 1974435.Finally, LCM of Fractions for 59/635, 97/492, 345/712 is 1974435.