Least Common Multiple of 910/43, 365/35, 280/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 910/43, 365/35, 280/992 quickly i.e. 265720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 910/43, 365/35, 280/992 is 265720.

LCM(910/43, 365/35, 280/992) = 265720

LCM of 910/43, 365/35, 280/992

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 910/43,365/35,280/992

Given numbers are 910/43,365/35,280/992

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 910,365,280

Least Common Multiple of Numerators i.e. LCM of 910,365,280 is 265720.

GCF of Denominators means GCF of 43,35,992 as per the given fractions.

GCF of 43,35,992 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 910,365,280

LCM of Fractions 910/43,365/35,280/992 is 265720

2 910, 365, 280
5 455, 365, 140
7 91, 73, 28
13, 73, 4

∴ So the LCM of the given numbers is 2 x 5 x 7 x 13 x 73 x 4 = 265720

Least Common Multiple of 910,365,280 with GCF Formula

Least Common Multiple of 910,365,280 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 910,365,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,365,280) = 5

common factors(in case of two or more numbers have common factors) = 70

GCF(910,365,280) x common factors =5 x 70 = 350

LCM(910,365,280) = ( 910 × 365 × 280 ) / 350

LCM(910,365,280) = 93002000 / 350

LCM(910,365,280) = 265720


Lets's calculate GCF of 43,35,992

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265720/1

Therefore the LCM of Fractions 910/43,365/35,280/992 is 265720

Greatest Common Factor of 43,35,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,35,992 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 43,35,992 . The biggest common factor number is the GCF number.
So the greatest common factor 43,35,992 is 1.


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 910/43, 365/35, 280/992

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 910/43, 365/35, 280/992?

Answer: LCM of Numerators as per given numbers 910/43, 365/35, 280/992 is

LCM of Numerators i.e. for 910,365,280 is 265720

GCF of denominators i.e. for 43,35,992 is 1.

Thus, LCM of Fractions is 265720.Finally, LCM of Fractions for 910/43, 365/35, 280/992 is 265720.