Least Common Multiple of 38/318, 340/991, 385/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/318, 340/991, 385/951 quickly i.e. 497420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/318, 340/991, 385/951 is 497420.

LCM(38/318, 340/991, 385/951) = 497420

LCM of 38/318, 340/991, 385/951

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 38/318,340/991,385/951

Given numbers are 38/318,340/991,385/951

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 38,340,385

Least Common Multiple of Numerators i.e. LCM of 38,340,385 is 497420.

GCF of Denominators means GCF of 318,991,951 as per the given fractions.

GCF of 318,991,951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,340,385

LCM of Fractions 38/318,340/991,385/951 is 497420

2 38, 340, 385
5 19, 170, 385
19, 34, 77

∴ So the LCM of the given numbers is 2 x 5 x 19 x 34 x 77 = 497420

Least Common Multiple of 38,340,385 with GCF Formula

Least Common Multiple of 38,340,385 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 38,340,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,340,385) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(38,340,385) x common factors =1 x 10 = 10

LCM(38,340,385) = ( 38 × 340 × 385 ) / 10

LCM(38,340,385) = 4974200 / 10

LCM(38,340,385) = 497420


Lets's calculate GCF of 318,991,951

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 497420/1

Therefore the LCM of Fractions 38/318,340/991,385/951 is 497420

Greatest Common Factor of 318,991,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,991,951 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 318,991,951 . The biggest common factor number is the GCF number.
So the greatest common factor 318,991,951 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 38/318, 340/991, 385/951

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 38/318, 340/991, 385/951?

Answer: LCM of Numerators as per given numbers 38/318, 340/991, 385/951 is

LCM of Numerators i.e. for 38,340,385 is 497420

GCF of denominators i.e. for 318,991,951 is 1.

Thus, LCM of Fractions is 497420.Finally, LCM of Fractions for 38/318, 340/991, 385/951 is 497420.