Least Common Multiple of 217/53, 830/31, 980/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/53, 830/31, 980/641 quickly i.e. 2521540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/53, 830/31, 980/641 is 2521540.

LCM(217/53, 830/31, 980/641) = 2521540

LCM of 217/53, 830/31, 980/641

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 217/53,830/31,980/641

Given numbers are 217/53,830/31,980/641

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 217,830,980

Least Common Multiple of Numerators i.e. LCM of 217,830,980 is 2521540.

GCF of Denominators means GCF of 53,31,641 as per the given fractions.

GCF of 53,31,641 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,830,980

LCM of Fractions 217/53,830/31,980/641 is 2521540

2 217, 830, 980
5 217, 415, 490
7 217, 83, 98
31, 83, 14

∴ So the LCM of the given numbers is 2 x 5 x 7 x 31 x 83 x 14 = 2521540

Least Common Multiple of 217,830,980 with GCF Formula

Least Common Multiple of 217,830,980 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 217,830,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,830,980) = 1

common factors(in case of two or more numbers have common factors) = 70

GCF(217,830,980) x common factors =1 x 70 = 70

LCM(217,830,980) = ( 217 × 830 × 980 ) / 70

LCM(217,830,980) = 176507800 / 70

LCM(217,830,980) = 2521540


Lets's calculate GCF of 53,31,641

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2521540/1

Therefore the LCM of Fractions 217/53,830/31,980/641 is 2521540

Greatest Common Factor of 53,31,641 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,31,641 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Greatest Common Factor

We found the factors 53,31,641 . The biggest common factor number is the GCF number.
So the greatest common factor 53,31,641 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 217/53, 830/31, 980/641

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 217/53, 830/31, 980/641?

Answer: LCM of Numerators as per given numbers 217/53, 830/31, 980/641 is

LCM of Numerators i.e. for 217,830,980 is 2521540

GCF of denominators i.e. for 53,31,641 is 1.

Thus, LCM of Fractions is 2521540.Finally, LCM of Fractions for 217/53, 830/31, 980/641 is 2521540.