Least Common Multiple of 52/650, 51/829, 730/647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/650, 51/829, 730/647 quickly i.e. 967980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/650, 51/829, 730/647 is 967980.

LCM(52/650, 51/829, 730/647) = 967980

LCM of 52/650, 51/829, 730/647

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 52/650,51/829,730/647

Given numbers are 52/650,51/829,730/647

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 52,51,730

Least Common Multiple of Numerators i.e. LCM of 52,51,730 is 967980.

GCF of Denominators means GCF of 650,829,647 as per the given fractions.

GCF of 650,829,647 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,51,730

LCM of Fractions 52/650,51/829,730/647 is 967980

2 52, 51, 730
26, 51, 365

∴ So the LCM of the given numbers is 2 x 26 x 51 x 365 = 967980

Least Common Multiple of 52,51,730 with GCF Formula

Least Common Multiple of 52,51,730 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 52,51,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,51,730) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(52,51,730) x common factors =1 x 2 = 2

LCM(52,51,730) = ( 52 × 51 × 730 ) / 2

LCM(52,51,730) = 1935960 / 2

LCM(52,51,730) = 967980


Lets's calculate GCF of 650,829,647

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 967980/1

Therefore the LCM of Fractions 52/650,51/829,730/647 is 967980

Greatest Common Factor of 650,829,647 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,829,647 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Greatest Common Factor

We found the factors 650,829,647 . The biggest common factor number is the GCF number.
So the greatest common factor 650,829,647 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 52/650, 51/829, 730/647

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 52/650, 51/829, 730/647?

Answer: LCM of Numerators as per given numbers 52/650, 51/829, 730/647 is

LCM of Numerators i.e. for 52,51,730 is 967980

GCF of denominators i.e. for 650,829,647 is 1.

Thus, LCM of Fractions is 967980.Finally, LCM of Fractions for 52/650, 51/829, 730/647 is 967980.