Least Common Multiple of 70/83, 39/74, 610/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/83, 39/74, 610/861 quickly i.e. 166530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/83, 39/74, 610/861 is 166530.

LCM(70/83, 39/74, 610/861) = 166530

LCM of 70/83, 39/74, 610/861

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 70/83,39/74,610/861

Given numbers are 70/83,39/74,610/861

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 70,39,610

Least Common Multiple of Numerators i.e. LCM of 70,39,610 is 166530.

GCF of Denominators means GCF of 83,74,861 as per the given fractions.

GCF of 83,74,861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,39,610

LCM of Fractions 70/83,39/74,610/861 is 166530

2 70, 39, 610
5 35, 39, 305
7, 39, 61

∴ So the LCM of the given numbers is 2 x 5 x 7 x 39 x 61 = 166530

Least Common Multiple of 70,39,610 with GCF Formula

Least Common Multiple of 70,39,610 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 70,39,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,39,610) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(70,39,610) x common factors =1 x 10 = 10

LCM(70,39,610) = ( 70 × 39 × 610 ) / 10

LCM(70,39,610) = 1665300 / 10

LCM(70,39,610) = 166530


Lets's calculate GCF of 83,74,861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166530/1

Therefore the LCM of Fractions 70/83,39/74,610/861 is 166530

Greatest Common Factor of 83,74,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,74,861 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 83,74,861 . The biggest common factor number is the GCF number.
So the greatest common factor 83,74,861 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 70/83, 39/74, 610/861

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 70/83, 39/74, 610/861?

Answer: LCM of Numerators as per given numbers 70/83, 39/74, 610/861 is

LCM of Numerators i.e. for 70,39,610 is 166530

GCF of denominators i.e. for 83,74,861 is 1.

Thus, LCM of Fractions is 166530.Finally, LCM of Fractions for 70/83, 39/74, 610/861 is 166530.