Least Common Multiple of 316/735, 431/886, 610/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 316/735, 431/886, 610/719 quickly i.e. 41539780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 316/735, 431/886, 610/719 is 41539780.

LCM(316/735, 431/886, 610/719) = 41539780

LCM of 316/735, 431/886, 610/719

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 316/735,431/886,610/719

Given numbers are 316/735,431/886,610/719

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 316,431,610

Least Common Multiple of Numerators i.e. LCM of 316,431,610 is 41539780.

GCF of Denominators means GCF of 735,886,719 as per the given fractions.

GCF of 735,886,719 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 316,431,610

LCM of Fractions 316/735,431/886,610/719 is 41539780

2 316, 431, 610
158, 431, 305

∴ So the LCM of the given numbers is 2 x 158 x 431 x 305 = 41539780

Least Common Multiple of 316,431,610 with GCF Formula

Least Common Multiple of 316,431,610 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 316,431,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,431,610) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(316,431,610) x common factors =1 x 2 = 2

LCM(316,431,610) = ( 316 × 431 × 610 ) / 2

LCM(316,431,610) = 83079560 / 2

LCM(316,431,610) = 41539780


Lets's calculate GCF of 735,886,719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41539780/1

Therefore the LCM of Fractions 316/735,431/886,610/719 is 41539780

Greatest Common Factor of 735,886,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,886,719 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 735,886,719 . The biggest common factor number is the GCF number.
So the greatest common factor 735,886,719 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 316/735, 431/886, 610/719

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 316/735, 431/886, 610/719?

Answer: LCM of Numerators as per given numbers 316/735, 431/886, 610/719 is

LCM of Numerators i.e. for 316,431,610 is 41539780

GCF of denominators i.e. for 735,886,719 is 1.

Thus, LCM of Fractions is 41539780.Finally, LCM of Fractions for 316/735, 431/886, 610/719 is 41539780.