Least Common Multiple of 140/70, 832/5831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 140/70, 832/5831 quickly i.e. 4160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/70, 832/5831 is 4160.

LCM(140/70, 832/5831) = 4160

LCM of 140/70, 832/5831

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 140/70,832/5831

Given numbers are 140/70,832/5831

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 140,832

Least Common Multiple of Numerators i.e. LCM of 140,832 is 29120.

GCF of Denominators means GCF of 70,5831 as per the given fractions.

GCF of 70,5831 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,832

LCM of Fractions 140/70,832/5831 is 4160

2 140, 832
2 70, 416
35, 208

∴ So the LCM of the given numbers is 2 x 2 x 35 x 208 = 29120

Least Common Multiple of 140,832 with GCF Formula

Least Common Multiple of 140,832 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 140,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,832) = 4

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

GCF(140,832) x common factors =4 x 1 = 4

LCM(140,832) = ( 140 × 832 ) / 4

LCM(140,832) = 116480 / 4

LCM(140,832) = 29120


Lets's calculate GCF of 70,5831

7 70, 5831
10, 833

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29120/7

Therefore the LCM of Fractions 140/70,832/5831 is 4160

Greatest Common Factor of 70,5831 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,5831 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 5831

List of positive integer factors of 5831 that divides 5831 without a remainder.

1,7,17,49,119,343,833,5831

Greatest Common Factor

We found the factors 70,5831 . The biggest common factor number is the GCF number.
So the greatest common factor 70,5831 is 7.


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 140/70, 832/5831

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 140/70, 832/5831?

Answer: LCM of Numerators as per given numbers 140/70, 832/5831 is

LCM of Numerators i.e. for 140,832 is 29120

GCF of denominators i.e. for 70,5831 is 7.

Thus, LCM of Fractions is 4160.Finally, LCM of Fractions for 140/70, 832/5831 is 4160.