Least Common Multiple of 55/940, 56/360, 930/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/940, 56/360, 930/456 quickly i.e. 71610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/940, 56/360, 930/456 is 71610.

LCM(55/940, 56/360, 930/456) = 71610

LCM of 55/940, 56/360, 930/456

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 55/940,56/360,930/456

Given numbers are 55/940,56/360,930/456

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 55,56,930

Least Common Multiple of Numerators i.e. LCM of 55,56,930 is 286440.

GCF of Denominators means GCF of 940,360,456 as per the given fractions.

GCF of 940,360,456 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,56,930

LCM of Fractions 55/940,56/360,930/456 is 71610

2 55, 56, 930
5 55, 28, 465
11, 28, 93

∴ So the LCM of the given numbers is 2 x 5 x 11 x 28 x 93 = 286440

Least Common Multiple of 55,56,930 with GCF Formula

Least Common Multiple of 55,56,930 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 55,56,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,56,930) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(55,56,930) x common factors =1 x 10 = 10

LCM(55,56,930) = ( 55 × 56 × 930 ) / 10

LCM(55,56,930) = 2864400 / 10

LCM(55,56,930) = 286440


Lets's calculate GCF of 940,360,456

2 940, 360, 456
2 470, 180, 228
235, 90, 114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286440/4

Therefore the LCM of Fractions 55/940,56/360,930/456 is 71610

Greatest Common Factor of 940,360,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,360,456 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 940,360,456 . The biggest common factor number is the GCF number.
So the greatest common factor 940,360,456 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 55/940, 56/360, 930/456

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 55/940, 56/360, 930/456?

Answer: LCM of Numerators as per given numbers 55/940, 56/360, 930/456 is

LCM of Numerators i.e. for 55,56,930 is 286440

GCF of denominators i.e. for 940,360,456 is 4.

Thus, LCM of Fractions is 71610.Finally, LCM of Fractions for 55/940, 56/360, 930/456 is 71610.