Least Common Multiple of 35/629, 749/93, 481/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 35/629, 749/93, 481/102 quickly i.e. 1801345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/629, 749/93, 481/102 is 1801345.

LCM(35/629, 749/93, 481/102) = 1801345

LCM of 35/629, 749/93, 481/102

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 35/629,749/93,481/102

Given numbers are 35/629,749/93,481/102

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 35,749,481

Least Common Multiple of Numerators i.e. LCM of 35,749,481 is 1801345.

GCF of Denominators means GCF of 629,93,102 as per the given fractions.

GCF of 629,93,102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,749,481

LCM of Fractions 35/629,749/93,481/102 is 1801345

7 35, 749, 481
5, 107, 481

∴ So the LCM of the given numbers is 7 x 5 x 107 x 481 = 1801345

Least Common Multiple of 35,749,481 with GCF Formula

Least Common Multiple of 35,749,481 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 35,749,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,749,481) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(35,749,481) x common factors =1 x 7 = 7

LCM(35,749,481) = ( 35 × 749 × 481 ) / 7

LCM(35,749,481) = 12609415 / 7

LCM(35,749,481) = 1801345


Lets's calculate GCF of 629,93,102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1801345/1

Therefore the LCM of Fractions 35/629,749/93,481/102 is 1801345

Greatest Common Factor of 629,93,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,93,102 By Matching Biggest Common Factor Method

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 629,93,102 . The biggest common factor number is the GCF number.
So the greatest common factor 629,93,102 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 35/629, 749/93, 481/102

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 35/629, 749/93, 481/102?

Answer: LCM of Numerators as per given numbers 35/629, 749/93, 481/102 is

LCM of Numerators i.e. for 35,749,481 is 1801345

GCF of denominators i.e. for 629,93,102 is 1.

Thus, LCM of Fractions is 1801345.Finally, LCM of Fractions for 35/629, 749/93, 481/102 is 1801345.