Least Common Multiple of 383/614, 740/278, 475/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 383/614, 740/278, 475/197 quickly i.e. 26924900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 383/614, 740/278, 475/197 is 26924900.

LCM(383/614, 740/278, 475/197) = 26924900

LCM of 383/614, 740/278, 475/197

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 383/614,740/278,475/197

Given numbers are 383/614,740/278,475/197

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 383,740,475

Least Common Multiple of Numerators i.e. LCM of 383,740,475 is 26924900.

GCF of Denominators means GCF of 614,278,197 as per the given fractions.

GCF of 614,278,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 383,740,475

LCM of Fractions 383/614,740/278,475/197 is 26924900

5 383, 740, 475
383, 148, 95

∴ So the LCM of the given numbers is 5 x 383 x 148 x 95 = 26924900

Least Common Multiple of 383,740,475 with GCF Formula

Least Common Multiple of 383,740,475 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 383,740,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,740,475) = 1

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

GCF(383,740,475) x common factors =1 x 5 = 5

LCM(383,740,475) = ( 383 × 740 × 475 ) / 5

LCM(383,740,475) = 134624500 / 5

LCM(383,740,475) = 26924900


Lets's calculate GCF of 614,278,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26924900/1

Therefore the LCM of Fractions 383/614,740/278,475/197 is 26924900

Greatest Common Factor of 614,278,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,278,197 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 614,278,197 . The biggest common factor number is the GCF number.
So the greatest common factor 614,278,197 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 383/614, 740/278, 475/197

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 383/614, 740/278, 475/197?

Answer: LCM of Numerators as per given numbers 383/614, 740/278, 475/197 is

LCM of Numerators i.e. for 383,740,475 is 26924900

GCF of denominators i.e. for 614,278,197 is 1.

Thus, LCM of Fractions is 26924900.Finally, LCM of Fractions for 383/614, 740/278, 475/197 is 26924900.