Least Common Multiple of 872/890, 692/237, 869/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/890, 692/237, 869/752 quickly i.e. 131093864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/890, 692/237, 869/752 is 131093864.

LCM(872/890, 692/237, 869/752) = 131093864

LCM of 872/890, 692/237, 869/752

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 872/890,692/237,869/752

Given numbers are 872/890,692/237,869/752

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 872,692,869

Least Common Multiple of Numerators i.e. LCM of 872,692,869 is 131093864.

GCF of Denominators means GCF of 890,237,752 as per the given fractions.

GCF of 890,237,752 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,692,869

LCM of Fractions 872/890,692/237,869/752 is 131093864

2 872, 692, 869
2 436, 346, 869
218, 173, 869

∴ So the LCM of the given numbers is 2 x 2 x 218 x 173 x 869 = 131093864

Least Common Multiple of 872,692,869 with GCF Formula

Least Common Multiple of 872,692,869 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 872,692,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,692,869) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(872,692,869) x common factors =1 x 4 = 4

LCM(872,692,869) = ( 872 × 692 × 869 ) / 4

LCM(872,692,869) = 524375456 / 4

LCM(872,692,869) = 131093864


Lets's calculate GCF of 890,237,752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131093864/1

Therefore the LCM of Fractions 872/890,692/237,869/752 is 131093864

Greatest Common Factor of 890,237,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,237,752 By Matching Biggest Common Factor Method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 890,237,752 . The biggest common factor number is the GCF number.
So the greatest common factor 890,237,752 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 872/890, 692/237, 869/752

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 872/890, 692/237, 869/752?

Answer: LCM of Numerators as per given numbers 872/890, 692/237, 869/752 is

LCM of Numerators i.e. for 872,692,869 is 131093864

GCF of denominators i.e. for 890,237,752 is 1.

Thus, LCM of Fractions is 131093864.Finally, LCM of Fractions for 872/890, 692/237, 869/752 is 131093864.