Least Common Multiple of 10/212, 507/524, 569/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/212, 507/524, 569/770 quickly i.e. 1442415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/212, 507/524, 569/770 is 1442415.

LCM(10/212, 507/524, 569/770) = 1442415

LCM of 10/212, 507/524, 569/770

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 10/212,507/524,569/770

Given numbers are 10/212,507/524,569/770

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 10,507,569

Least Common Multiple of Numerators i.e. LCM of 10,507,569 is 2884830.

GCF of Denominators means GCF of 212,524,770 as per the given fractions.

GCF of 212,524,770 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,507,569

LCM of Fractions 10/212,507/524,569/770 is 1442415

Given numbers has no common factors except 1. So, there LCM is their product i.e 2884830

Least Common Multiple of 10,507,569 with GCF Formula

Least Common Multiple of 10,507,569 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 10,507,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,507,569) = 1

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

GCF(10,507,569) x common factors =1 x 1 = 1

LCM(10,507,569) = ( 10 × 507 × 569 ) / 1

LCM(10,507,569) = 2884830 / 1

LCM(10,507,569) = 2884830


Lets's calculate GCF of 212,524,770

2 212, 524, 770
106, 262, 385

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2884830/2

Therefore the LCM of Fractions 10/212,507/524,569/770 is 1442415

Greatest Common Factor of 212,524,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,524,770 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 212,524,770 . The biggest common factor number is the GCF number.
So the greatest common factor 212,524,770 is 2.


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 10/212, 507/524, 569/770

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 10/212, 507/524, 569/770?

Answer: LCM of Numerators as per given numbers 10/212, 507/524, 569/770 is

LCM of Numerators i.e. for 10,507,569 is 2884830

GCF of denominators i.e. for 212,524,770 is 2.

Thus, LCM of Fractions is 1442415.Finally, LCM of Fractions for 10/212, 507/524, 569/770 is 1442415.