Least Common Multiple of 55/280, 15/428, 916/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/280, 15/428, 916/754 quickly i.e. 75570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/280, 15/428, 916/754 is 75570.

LCM(55/280, 15/428, 916/754) = 75570

LCM of 55/280, 15/428, 916/754

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 55/280,15/428,916/754

Given numbers are 55/280,15/428,916/754

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 55,15,916

Least Common Multiple of Numerators i.e. LCM of 55,15,916 is 151140.

GCF of Denominators means GCF of 280,428,754 as per the given fractions.

GCF of 280,428,754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,15,916

LCM of Fractions 55/280,15/428,916/754 is 75570

5 55, 15, 916
11, 3, 916

∴ So the LCM of the given numbers is 5 x 11 x 3 x 916 = 151140

Least Common Multiple of 55,15,916 with GCF Formula

Least Common Multiple of 55,15,916 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 55,15,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,15,916) = 1

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

GCF(55,15,916) x common factors =1 x 5 = 5

LCM(55,15,916) = ( 55 × 15 × 916 ) / 5

LCM(55,15,916) = 755700 / 5

LCM(55,15,916) = 151140


Lets's calculate GCF of 280,428,754

2 280, 428, 754
140, 214, 377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151140/2

Therefore the LCM of Fractions 55/280,15/428,916/754 is 75570

Greatest Common Factor of 280,428,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,428,754 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 280,428,754 . The biggest common factor number is the GCF number.
So the greatest common factor 280,428,754 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 55/280, 15/428, 916/754

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 55/280, 15/428, 916/754?

Answer: LCM of Numerators as per given numbers 55/280, 15/428, 916/754 is

LCM of Numerators i.e. for 55,15,916 is 151140

GCF of denominators i.e. for 280,428,754 is 2.

Thus, LCM of Fractions is 75570.Finally, LCM of Fractions for 55/280, 15/428, 916/754 is 75570.