Least Common Multiple of 634/400, 294/993, 637/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 634/400, 294/993, 637/437 quickly i.e. 1211574 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 634/400, 294/993, 637/437 is 1211574.

LCM(634/400, 294/993, 637/437) = 1211574

LCM of 634/400, 294/993, 637/437

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 634/400,294/993,637/437

Given numbers are 634/400,294/993,637/437

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 634,294,637

Least Common Multiple of Numerators i.e. LCM of 634,294,637 is 1211574.

GCF of Denominators means GCF of 400,993,437 as per the given fractions.

GCF of 400,993,437 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 634,294,637

LCM of Fractions 634/400,294/993,637/437 is 1211574

2 634, 294, 637
7 317, 147, 637
7 317, 21, 91
317, 3, 13

∴ So the LCM of the given numbers is 2 x 7 x 7 x 317 x 3 x 13 = 1211574

Least Common Multiple of 634,294,637 with GCF Formula

Least Common Multiple of 634,294,637 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 634,294,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,294,637) = 1

common factors(in case of two or more numbers have common factors) = 98

GCF(634,294,637) x common factors =1 x 98 = 98

LCM(634,294,637) = ( 634 × 294 × 637 ) / 98

LCM(634,294,637) = 118734252 / 98

LCM(634,294,637) = 1211574


Lets's calculate GCF of 400,993,437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1211574/1

Therefore the LCM of Fractions 634/400,294/993,637/437 is 1211574

Greatest Common Factor of 400,993,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,993,437 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors 400,993,437 . The biggest common factor number is the GCF number.
So the greatest common factor 400,993,437 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 634/400, 294/993, 637/437

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 634/400, 294/993, 637/437?

Answer: LCM of Numerators as per given numbers 634/400, 294/993, 637/437 is

LCM of Numerators i.e. for 634,294,637 is 1211574

GCF of denominators i.e. for 400,993,437 is 1.

Thus, LCM of Fractions is 1211574.Finally, LCM of Fractions for 634/400, 294/993, 637/437 is 1211574.