Least Common Multiple of 872/145, 346/264, 861/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/145, 346/264, 861/685 quickly i.e. 129887016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/145, 346/264, 861/685 is 129887016.

LCM(872/145, 346/264, 861/685) = 129887016

LCM of 872/145, 346/264, 861/685

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 872/145,346/264,861/685

Given numbers are 872/145,346/264,861/685

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 872,346,861

Least Common Multiple of Numerators i.e. LCM of 872,346,861 is 129887016.

GCF of Denominators means GCF of 145,264,685 as per the given fractions.

GCF of 145,264,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,346,861

LCM of Fractions 872/145,346/264,861/685 is 129887016

2 872, 346, 861
436, 173, 861

∴ So the LCM of the given numbers is 2 x 436 x 173 x 861 = 129887016

Least Common Multiple of 872,346,861 with GCF Formula

Least Common Multiple of 872,346,861 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 872,346,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,346,861) = 1

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

GCF(872,346,861) x common factors =1 x 2 = 2

LCM(872,346,861) = ( 872 × 346 × 861 ) / 2

LCM(872,346,861) = 259774032 / 2

LCM(872,346,861) = 129887016


Lets's calculate GCF of 145,264,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129887016/1

Therefore the LCM of Fractions 872/145,346/264,861/685 is 129887016

Greatest Common Factor of 145,264,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,264,685 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 145,264,685 . The biggest common factor number is the GCF number.
So the greatest common factor 145,264,685 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 872/145, 346/264, 861/685

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 872/145, 346/264, 861/685?

Answer: LCM of Numerators as per given numbers 872/145, 346/264, 861/685 is

LCM of Numerators i.e. for 872,346,861 is 129887016

GCF of denominators i.e. for 145,264,685 is 1.

Thus, LCM of Fractions is 129887016.Finally, LCM of Fractions for 872/145, 346/264, 861/685 is 129887016.