Least Common Multiple of 35/354, 68/537, 985/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/354, 68/537, 985/994 quickly i.e. 468860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/354, 68/537, 985/994 is 468860.

LCM(35/354, 68/537, 985/994) = 468860

LCM of 35/354, 68/537, 985/994

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 35/354,68/537,985/994

Given numbers are 35/354,68/537,985/994

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 35,68,985

Least Common Multiple of Numerators i.e. LCM of 35,68,985 is 468860.

GCF of Denominators means GCF of 354,537,994 as per the given fractions.

GCF of 354,537,994 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,68,985

LCM of Fractions 35/354,68/537,985/994 is 468860

5 35, 68, 985
7, 68, 197

∴ So the LCM of the given numbers is 5 x 7 x 68 x 197 = 468860

Least Common Multiple of 35,68,985 with GCF Formula

Least Common Multiple of 35,68,985 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 35,68,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,68,985) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,68,985) x common factors =1 x 5 = 5

LCM(35,68,985) = ( 35 × 68 × 985 ) / 5

LCM(35,68,985) = 2344300 / 5

LCM(35,68,985) = 468860


Lets's calculate GCF of 354,537,994

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 468860/1

Therefore the LCM of Fractions 35/354,68/537,985/994 is 468860

Greatest Common Factor of 354,537,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,537,994 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 354,537,994 . The biggest common factor number is the GCF number.
So the greatest common factor 354,537,994 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 35/354, 68/537, 985/994

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 35/354, 68/537, 985/994?

Answer: LCM of Numerators as per given numbers 35/354, 68/537, 985/994 is

LCM of Numerators i.e. for 35,68,985 is 468860

GCF of denominators i.e. for 354,537,994 is 1.

Thus, LCM of Fractions is 468860.Finally, LCM of Fractions for 35/354, 68/537, 985/994 is 468860.