Least Common Multiple of 56/646, 34/740, 740/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/646, 34/740, 740/558 quickly i.e. 88060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/646, 34/740, 740/558 is 88060.

LCM(56/646, 34/740, 740/558) = 88060

LCM of 56/646, 34/740, 740/558

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 56/646,34/740,740/558

Given numbers are 56/646,34/740,740/558

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 56,34,740

Least Common Multiple of Numerators i.e. LCM of 56,34,740 is 176120.

GCF of Denominators means GCF of 646,740,558 as per the given fractions.

GCF of 646,740,558 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,34,740

LCM of Fractions 56/646,34/740,740/558 is 88060

2 56, 34, 740
2 28, 17, 370
14, 17, 185

∴ So the LCM of the given numbers is 2 x 2 x 14 x 17 x 185 = 176120

Least Common Multiple of 56,34,740 with GCF Formula

Least Common Multiple of 56,34,740 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 56,34,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,34,740) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(56,34,740) x common factors =2 x 4 = 8

LCM(56,34,740) = ( 56 × 34 × 740 ) / 8

LCM(56,34,740) = 1408960 / 8

LCM(56,34,740) = 176120


Lets's calculate GCF of 646,740,558

2 646, 740, 558
323, 370, 279

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176120/2

Therefore the LCM of Fractions 56/646,34/740,740/558 is 88060

Greatest Common Factor of 646,740,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,740,558 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 646,740,558 . The biggest common factor number is the GCF number.
So the greatest common factor 646,740,558 is 2.


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 56/646, 34/740, 740/558

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 56/646, 34/740, 740/558?

Answer: LCM of Numerators as per given numbers 56/646, 34/740, 740/558 is

LCM of Numerators i.e. for 56,34,740 is 176120

GCF of denominators i.e. for 646,740,558 is 2.

Thus, LCM of Fractions is 88060.Finally, LCM of Fractions for 56/646, 34/740, 740/558 is 88060.