Least Common Multiple of 38/348, 465/851, 671/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/348, 465/851, 671/870 quickly i.e. 11856570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/348, 465/851, 671/870 is 11856570.

LCM(38/348, 465/851, 671/870) = 11856570

LCM of 38/348, 465/851, 671/870

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 38/348,465/851,671/870

Given numbers are 38/348,465/851,671/870

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 38,465,671

Least Common Multiple of Numerators i.e. LCM of 38,465,671 is 11856570.

GCF of Denominators means GCF of 348,851,870 as per the given fractions.

GCF of 348,851,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,465,671

LCM of Fractions 38/348,465/851,671/870 is 11856570

Given numbers has no common factors except 1. So, there LCM is their product i.e 11856570

Least Common Multiple of 38,465,671 with GCF Formula

Least Common Multiple of 38,465,671 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 38,465,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,465,671) = 1

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

GCF(38,465,671) x common factors =1 x 1 = 1

LCM(38,465,671) = ( 38 × 465 × 671 ) / 1

LCM(38,465,671) = 11856570 / 1

LCM(38,465,671) = 11856570


Lets's calculate GCF of 348,851,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11856570/1

Therefore the LCM of Fractions 38/348,465/851,671/870 is 11856570

Greatest Common Factor of 348,851,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,851,870 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 348,851,870 . The biggest common factor number is the GCF number.
So the greatest common factor 348,851,870 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 38/348, 465/851, 671/870

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 38/348, 465/851, 671/870?

Answer: LCM of Numerators as per given numbers 38/348, 465/851, 671/870 is

LCM of Numerators i.e. for 38,465,671 is 11856570

GCF of denominators i.e. for 348,851,870 is 1.

Thus, LCM of Fractions is 11856570.Finally, LCM of Fractions for 38/348, 465/851, 671/870 is 11856570.