Least Common Multiple of 35/112, 365/620, 956/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/112, 365/620, 956/556 quickly i.e. 610645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/112, 365/620, 956/556 is 610645.

LCM(35/112, 365/620, 956/556) = 610645

LCM of 35/112, 365/620, 956/556

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 35/112,365/620,956/556

Given numbers are 35/112,365/620,956/556

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 35,365,956

Least Common Multiple of Numerators i.e. LCM of 35,365,956 is 2442580.

GCF of Denominators means GCF of 112,620,556 as per the given fractions.

GCF of 112,620,556 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,365,956

LCM of Fractions 35/112,365/620,956/556 is 610645

5 35, 365, 956
7, 73, 956

∴ So the LCM of the given numbers is 5 x 7 x 73 x 956 = 2442580

Least Common Multiple of 35,365,956 with GCF Formula

Least Common Multiple of 35,365,956 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 35,365,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,365,956) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,365,956) x common factors =1 x 5 = 5

LCM(35,365,956) = ( 35 × 365 × 956 ) / 5

LCM(35,365,956) = 12212900 / 5

LCM(35,365,956) = 2442580


Lets's calculate GCF of 112,620,556

2 112, 620, 556
2 56, 310, 278
28, 155, 139

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2442580/4

Therefore the LCM of Fractions 35/112,365/620,956/556 is 610645

Greatest Common Factor of 112,620,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,620,556 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 112,620,556 . The biggest common factor number is the GCF number.
So the greatest common factor 112,620,556 is 4.


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 35/112, 365/620, 956/556

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 35/112, 365/620, 956/556?

Answer: LCM of Numerators as per given numbers 35/112, 365/620, 956/556 is

LCM of Numerators i.e. for 35,365,956 is 2442580

GCF of denominators i.e. for 112,620,556 is 4.

Thus, LCM of Fractions is 610645.Finally, LCM of Fractions for 35/112, 365/620, 956/556 is 610645.