Least Common Multiple of 870/42, 739/4180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/42, 739/4180 quickly i.e. 321465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/42, 739/4180 is 321465.

LCM(870/42, 739/4180) = 321465

LCM of 870/42, 739/4180

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 870/42,739/4180

Given numbers are 870/42,739/4180

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 870,739

Least Common Multiple of Numerators i.e. LCM of 870,739 is 642930.

GCF of Denominators means GCF of 42,4180 as per the given fractions.

GCF of 42,4180 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,739

LCM of Fractions 870/42,739/4180 is 321465

Given numbers has no common factors except 1. So, there LCM is their product i.e 642930

Least Common Multiple of 870,739 with GCF Formula

Least Common Multiple of 870,739 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 870,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,739) = 1

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

GCF(870,739) x common factors =1 x 1 = 1

LCM(870,739) = ( 870 × 739 ) / 1

LCM(870,739) = 642930 / 1

LCM(870,739) = 642930


Lets's calculate GCF of 42,4180

2 42, 4180
21, 2090

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 642930/2

Therefore the LCM of Fractions 870/42,739/4180 is 321465

Greatest Common Factor of 42,4180 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,4180 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 4180

List of positive integer factors of 4180 that divides 4180 without a remainder.

1,2,4,5,10,11,19,20,22,38,44,55,76,95,110,190,209,220,380,418,836,1045,2090,4180

Greatest Common Factor

We found the factors 42,4180 . The biggest common factor number is the GCF number.
So the greatest common factor 42,4180 is 2.


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 870/42, 739/4180

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 870/42, 739/4180?

Answer: LCM of Numerators as per given numbers 870/42, 739/4180 is

LCM of Numerators i.e. for 870,739 is 642930

GCF of denominators i.e. for 42,4180 is 2.

Thus, LCM of Fractions is 321465.Finally, LCM of Fractions for 870/42, 739/4180 is 321465.