Least Common Multiple of 38/550, 35/762, 317/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/550, 35/762, 317/970 quickly i.e. 210805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/550, 35/762, 317/970 is 210805.

LCM(38/550, 35/762, 317/970) = 210805

LCM of 38/550, 35/762, 317/970

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 38/550,35/762,317/970

Given numbers are 38/550,35/762,317/970

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 38,35,317

Least Common Multiple of Numerators i.e. LCM of 38,35,317 is 421610.

GCF of Denominators means GCF of 550,762,970 as per the given fractions.

GCF of 550,762,970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,35,317

LCM of Fractions 38/550,35/762,317/970 is 210805

Given numbers has no common factors except 1. So, there LCM is their product i.e 421610

Least Common Multiple of 38,35,317 with GCF Formula

Least Common Multiple of 38,35,317 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 38,35,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,35,317) = 1

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

GCF(38,35,317) x common factors =1 x 1 = 1

LCM(38,35,317) = ( 38 × 35 × 317 ) / 1

LCM(38,35,317) = 421610 / 1

LCM(38,35,317) = 421610


Lets's calculate GCF of 550,762,970

2 550, 762, 970
275, 381, 485

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 421610/2

Therefore the LCM of Fractions 38/550,35/762,317/970 is 210805

Greatest Common Factor of 550,762,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,762,970 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 550,762,970 . The biggest common factor number is the GCF number.
So the greatest common factor 550,762,970 is 2.


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 38/550, 35/762, 317/970

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 38/550, 35/762, 317/970?

Answer: LCM of Numerators as per given numbers 38/550, 35/762, 317/970 is

LCM of Numerators i.e. for 38,35,317 is 421610

GCF of denominators i.e. for 550,762,970 is 2.

Thus, LCM of Fractions is 210805.Finally, LCM of Fractions for 38/550, 35/762, 317/970 is 210805.