Least Common Multiple of 558/493, 740/422, 751/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 558/493, 740/422, 751/858 quickly i.e. 155051460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 558/493, 740/422, 751/858 is 155051460.

LCM(558/493, 740/422, 751/858) = 155051460

LCM of 558/493, 740/422, 751/858

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 558/493,740/422,751/858

Given numbers are 558/493,740/422,751/858

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 558,740,751

Least Common Multiple of Numerators i.e. LCM of 558,740,751 is 155051460.

GCF of Denominators means GCF of 493,422,858 as per the given fractions.

GCF of 493,422,858 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 558,740,751

LCM of Fractions 558/493,740/422,751/858 is 155051460

2 558, 740, 751
279, 370, 751

∴ So the LCM of the given numbers is 2 x 279 x 370 x 751 = 155051460

Least Common Multiple of 558,740,751 with GCF Formula

Least Common Multiple of 558,740,751 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 558,740,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,740,751) = 1

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

GCF(558,740,751) x common factors =1 x 2 = 2

LCM(558,740,751) = ( 558 × 740 × 751 ) / 2

LCM(558,740,751) = 310102920 / 2

LCM(558,740,751) = 155051460


Lets's calculate GCF of 493,422,858

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155051460/1

Therefore the LCM of Fractions 558/493,740/422,751/858 is 155051460

Greatest Common Factor of 493,422,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,422,858 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 493,422,858 . The biggest common factor number is the GCF number.
So the greatest common factor 493,422,858 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 558/493, 740/422, 751/858

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 558/493, 740/422, 751/858?

Answer: LCM of Numerators as per given numbers 558/493, 740/422, 751/858 is

LCM of Numerators i.e. for 558,740,751 is 155051460

GCF of denominators i.e. for 493,422,858 is 1.

Thus, LCM of Fractions is 155051460.Finally, LCM of Fractions for 558/493, 740/422, 751/858 is 155051460.