Least Common Multiple of 92/631, 540/570, 513/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/631, 540/570, 513/140 quickly i.e. 235980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/631, 540/570, 513/140 is 235980.

LCM(92/631, 540/570, 513/140) = 235980

LCM of 92/631, 540/570, 513/140

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 92/631,540/570,513/140

Given numbers are 92/631,540/570,513/140

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 92,540,513

Least Common Multiple of Numerators i.e. LCM of 92,540,513 is 235980.

GCF of Denominators means GCF of 631,570,140 as per the given fractions.

GCF of 631,570,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,540,513

LCM of Fractions 92/631,540/570,513/140 is 235980

2 92, 540, 513
2 46, 270, 513
3 23, 135, 513
3 23, 45, 171
3 23, 15, 57
23, 5, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 23 x 5 x 19 = 235980

Least Common Multiple of 92,540,513 with GCF Formula

Least Common Multiple of 92,540,513 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 92,540,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,540,513) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(92,540,513) x common factors =1 x 108 = 108

LCM(92,540,513) = ( 92 × 540 × 513 ) / 108

LCM(92,540,513) = 25485840 / 108

LCM(92,540,513) = 235980


Lets's calculate GCF of 631,570,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235980/1

Therefore the LCM of Fractions 92/631,540/570,513/140 is 235980

Greatest Common Factor of 631,570,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,570,140 By Matching Biggest Common Factor Method

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 631,570,140 . The biggest common factor number is the GCF number.
So the greatest common factor 631,570,140 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 92/631, 540/570, 513/140

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 92/631, 540/570, 513/140?

Answer: LCM of Numerators as per given numbers 92/631, 540/570, 513/140 is

LCM of Numerators i.e. for 92,540,513 is 235980

GCF of denominators i.e. for 631,570,140 is 1.

Thus, LCM of Fractions is 235980.Finally, LCM of Fractions for 92/631, 540/570, 513/140 is 235980.