Least Common Multiple of 60/869, 378/637, 610/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/869, 378/637, 610/382 quickly i.e. 230580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/869, 378/637, 610/382 is 230580.

LCM(60/869, 378/637, 610/382) = 230580

LCM of 60/869, 378/637, 610/382

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 60/869,378/637,610/382

Given numbers are 60/869,378/637,610/382

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 60,378,610

Least Common Multiple of Numerators i.e. LCM of 60,378,610 is 230580.

GCF of Denominators means GCF of 869,637,382 as per the given fractions.

GCF of 869,637,382 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,378,610

LCM of Fractions 60/869,378/637,610/382 is 230580

2 60, 378, 610
3 30, 189, 305
5 10, 63, 305
2, 63, 61

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 63 x 61 = 230580

Least Common Multiple of 60,378,610 with GCF Formula

Least Common Multiple of 60,378,610 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 60,378,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,378,610) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(60,378,610) x common factors =2 x 30 = 60

LCM(60,378,610) = ( 60 × 378 × 610 ) / 60

LCM(60,378,610) = 13834800 / 60

LCM(60,378,610) = 230580


Lets's calculate GCF of 869,637,382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230580/1

Therefore the LCM of Fractions 60/869,378/637,610/382 is 230580

Greatest Common Factor of 869,637,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,637,382 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 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 869,637,382 . The biggest common factor number is the GCF number.
So the greatest common factor 869,637,382 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 60/869, 378/637, 610/382

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 60/869, 378/637, 610/382?

Answer: LCM of Numerators as per given numbers 60/869, 378/637, 610/382 is

LCM of Numerators i.e. for 60,378,610 is 230580

GCF of denominators i.e. for 869,637,382 is 1.

Thus, LCM of Fractions is 230580.Finally, LCM of Fractions for 60/869, 378/637, 610/382 is 230580.