Least Common Multiple of 976/105, 462/322, 358/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 976/105, 462/322, 358/859 quickly i.e. 40356624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 976/105, 462/322, 358/859 is 40356624.

LCM(976/105, 462/322, 358/859) = 40356624

LCM of 976/105, 462/322, 358/859

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 976/105,462/322,358/859

Given numbers are 976/105,462/322,358/859

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 976,462,358

Least Common Multiple of Numerators i.e. LCM of 976,462,358 is 40356624.

GCF of Denominators means GCF of 105,322,859 as per the given fractions.

GCF of 105,322,859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 976,462,358

LCM of Fractions 976/105,462/322,358/859 is 40356624

2 976, 462, 358
488, 231, 179

∴ So the LCM of the given numbers is 2 x 488 x 231 x 179 = 40356624

Least Common Multiple of 976,462,358 with GCF Formula

Least Common Multiple of 976,462,358 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 976,462,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,462,358) = 2

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

GCF(976,462,358) x common factors =2 x 2 = 4

LCM(976,462,358) = ( 976 × 462 × 358 ) / 4

LCM(976,462,358) = 161426496 / 4

LCM(976,462,358) = 40356624


Lets's calculate GCF of 105,322,859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40356624/1

Therefore the LCM of Fractions 976/105,462/322,358/859 is 40356624

Greatest Common Factor of 105,322,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,322,859 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 105,322,859 . The biggest common factor number is the GCF number.
So the greatest common factor 105,322,859 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 976/105, 462/322, 358/859

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 976/105, 462/322, 358/859?

Answer: LCM of Numerators as per given numbers 976/105, 462/322, 358/859 is

LCM of Numerators i.e. for 976,462,358 is 40356624

GCF of denominators i.e. for 105,322,859 is 1.

Thus, LCM of Fractions is 40356624.Finally, LCM of Fractions for 976/105, 462/322, 358/859 is 40356624.