Least Common Multiple of 53/490, 190/975, 401/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/490, 190/975, 401/694 quickly i.e. 4038070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/490, 190/975, 401/694 is 4038070.

LCM(53/490, 190/975, 401/694) = 4038070

LCM of 53/490, 190/975, 401/694

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 53/490,190/975,401/694

Given numbers are 53/490,190/975,401/694

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 53,190,401

Least Common Multiple of Numerators i.e. LCM of 53,190,401 is 4038070.

GCF of Denominators means GCF of 490,975,694 as per the given fractions.

GCF of 490,975,694 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,190,401

LCM of Fractions 53/490,190/975,401/694 is 4038070

Given numbers has no common factors except 1. So, there LCM is their product i.e 4038070

Least Common Multiple of 53,190,401 with GCF Formula

Least Common Multiple of 53,190,401 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 53,190,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,190,401) = 1

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

GCF(53,190,401) x common factors =1 x 1 = 1

LCM(53,190,401) = ( 53 × 190 × 401 ) / 1

LCM(53,190,401) = 4038070 / 1

LCM(53,190,401) = 4038070


Lets's calculate GCF of 490,975,694

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4038070/1

Therefore the LCM of Fractions 53/490,190/975,401/694 is 4038070

Greatest Common Factor of 490,975,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,975,694 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 490,975,694 . The biggest common factor number is the GCF number.
So the greatest common factor 490,975,694 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 53/490, 190/975, 401/694

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 53/490, 190/975, 401/694?

Answer: LCM of Numerators as per given numbers 53/490, 190/975, 401/694 is

LCM of Numerators i.e. for 53,190,401 is 4038070

GCF of denominators i.e. for 490,975,694 is 1.

Thus, LCM of Fractions is 4038070.Finally, LCM of Fractions for 53/490, 190/975, 401/694 is 4038070.