Least Common Multiple of 5730/516, 1972/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5730/516, 1972/654 quickly i.e. 941630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5730/516, 1972/654 is 941630.

LCM(5730/516, 1972/654) = 941630

LCM of 5730/516, 1972/654

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 5730/516,1972/654

Given numbers are 5730/516,1972/654

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 5730,1972

Least Common Multiple of Numerators i.e. LCM of 5730,1972 is 5649780.

GCF of Denominators means GCF of 516,654 as per the given fractions.

GCF of 516,654 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5730,1972

LCM of Fractions 5730/516,1972/654 is 941630

2 5730, 1972
2865, 986

∴ So the LCM of the given numbers is 2 x 2865 x 986 = 5649780

Least Common Multiple of 5730,1972 with GCF Formula

Least Common Multiple of 5730,1972 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 5730,1972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5730,1972) = 2

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

GCF(5730,1972) x common factors =2 x 1 = 2

LCM(5730,1972) = ( 5730 × 1972 ) / 2

LCM(5730,1972) = 11299560 / 2

LCM(5730,1972) = 5649780


Lets's calculate GCF of 516,654

2 516, 654
3 258, 327
86, 109

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5649780/6

Therefore the LCM of Fractions 5730/516,1972/654 is 941630

Greatest Common Factor of 516,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,654 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 516,654 . The biggest common factor number is the GCF number.
So the greatest common factor 516,654 is 6.


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 5730/516, 1972/654

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 5730/516, 1972/654?

Answer: LCM of Numerators as per given numbers 5730/516, 1972/654 is

LCM of Numerators i.e. for 5730,1972 is 5649780

GCF of denominators i.e. for 516,654 is 6.

Thus, LCM of Fractions is 941630.Finally, LCM of Fractions for 5730/516, 1972/654 is 941630.