Least Common Multiple of 48/869, 629/421, 510/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/869, 629/421, 510/505 quickly i.e. 150960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/869, 629/421, 510/505 is 150960.

LCM(48/869, 629/421, 510/505) = 150960

LCM of 48/869, 629/421, 510/505

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 48/869,629/421,510/505

Given numbers are 48/869,629/421,510/505

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 48,629,510

Least Common Multiple of Numerators i.e. LCM of 48,629,510 is 150960.

GCF of Denominators means GCF of 869,421,505 as per the given fractions.

GCF of 869,421,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,629,510

LCM of Fractions 48/869,629/421,510/505 is 150960

2 48, 629, 510
3 24, 629, 255
17 8, 629, 85
8, 37, 5

∴ So the LCM of the given numbers is 2 x 3 x 17 x 8 x 37 x 5 = 150960

Least Common Multiple of 48,629,510 with GCF Formula

Least Common Multiple of 48,629,510 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 48,629,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,629,510) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(48,629,510) x common factors =1 x 102 = 102

LCM(48,629,510) = ( 48 × 629 × 510 ) / 102

LCM(48,629,510) = 15397920 / 102

LCM(48,629,510) = 150960


Lets's calculate GCF of 869,421,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150960/1

Therefore the LCM of Fractions 48/869,629/421,510/505 is 150960

Greatest Common Factor of 869,421,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,421,505 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 869,421,505 . The biggest common factor number is the GCF number.
So the greatest common factor 869,421,505 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 48/869, 629/421, 510/505

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 48/869, 629/421, 510/505?

Answer: LCM of Numerators as per given numbers 48/869, 629/421, 510/505 is

LCM of Numerators i.e. for 48,629,510 is 150960

GCF of denominators i.e. for 869,421,505 is 1.

Thus, LCM of Fractions is 150960.Finally, LCM of Fractions for 48/869, 629/421, 510/505 is 150960.