Least Common Multiple of 869/597, 820/860, 402/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 869/597, 820/860, 402/971 quickly i.e. 143228580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 869/597, 820/860, 402/971 is 143228580.

LCM(869/597, 820/860, 402/971) = 143228580

LCM of 869/597, 820/860, 402/971

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 869/597,820/860,402/971

Given numbers are 869/597,820/860,402/971

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 869,820,402

Least Common Multiple of Numerators i.e. LCM of 869,820,402 is 143228580.

GCF of Denominators means GCF of 597,860,971 as per the given fractions.

GCF of 597,860,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 869,820,402

LCM of Fractions 869/597,820/860,402/971 is 143228580

2 869, 820, 402
869, 410, 201

∴ So the LCM of the given numbers is 2 x 869 x 410 x 201 = 143228580

Least Common Multiple of 869,820,402 with GCF Formula

Least Common Multiple of 869,820,402 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 869,820,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,820,402) = 1

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

GCF(869,820,402) x common factors =1 x 2 = 2

LCM(869,820,402) = ( 869 × 820 × 402 ) / 2

LCM(869,820,402) = 286457160 / 2

LCM(869,820,402) = 143228580


Lets's calculate GCF of 597,860,971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143228580/1

Therefore the LCM of Fractions 869/597,820/860,402/971 is 143228580

Greatest Common Factor of 597,860,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,860,971 By Matching Biggest Common Factor Method

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 597,860,971 . The biggest common factor number is the GCF number.
So the greatest common factor 597,860,971 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 869/597, 820/860, 402/971

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 869/597, 820/860, 402/971?

Answer: LCM of Numerators as per given numbers 869/597, 820/860, 402/971 is

LCM of Numerators i.e. for 869,820,402 is 143228580

GCF of denominators i.e. for 597,860,971 is 1.

Thus, LCM of Fractions is 143228580.Finally, LCM of Fractions for 869/597, 820/860, 402/971 is 143228580.