Least Common Multiple of 897/716, 562/462, 401/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 897/716, 562/462, 401/956 quickly i.e. 101074857 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 897/716, 562/462, 401/956 is 101074857.

LCM(897/716, 562/462, 401/956) = 101074857

LCM of 897/716, 562/462, 401/956

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 897/716,562/462,401/956

Given numbers are 897/716,562/462,401/956

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 897,562,401

Least Common Multiple of Numerators i.e. LCM of 897,562,401 is 202149714.

GCF of Denominators means GCF of 716,462,956 as per the given fractions.

GCF of 716,462,956 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 897,562,401

LCM of Fractions 897/716,562/462,401/956 is 101074857

Given numbers has no common factors except 1. So, there LCM is their product i.e 202149714

Least Common Multiple of 897,562,401 with GCF Formula

Least Common Multiple of 897,562,401 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 897,562,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,562,401) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(897,562,401) x common factors =1 x 1 = 1

LCM(897,562,401) = ( 897 × 562 × 401 ) / 1

LCM(897,562,401) = 202149714 / 1

LCM(897,562,401) = 202149714


Lets's calculate GCF of 716,462,956

2 716, 462, 956
358, 231, 478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202149714/2

Therefore the LCM of Fractions 897/716,562/462,401/956 is 101074857

Greatest Common Factor of 716,462,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,462,956 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 716,462,956 . The biggest common factor number is the GCF number.
So the greatest common factor 716,462,956 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 897/716, 562/462, 401/956

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 897/716, 562/462, 401/956?

Answer: LCM of Numerators as per given numbers 897/716, 562/462, 401/956 is

LCM of Numerators i.e. for 897,562,401 is 202149714

GCF of denominators i.e. for 716,462,956 is 2.

Thus, LCM of Fractions is 101074857.Finally, LCM of Fractions for 897/716, 562/462, 401/956 is 101074857.