Least Common Multiple of 49/262, 82/280, 975/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/262, 82/280, 975/383 quickly i.e. 3917550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/262, 82/280, 975/383 is 3917550.

LCM(49/262, 82/280, 975/383) = 3917550

LCM of 49/262, 82/280, 975/383

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 49/262,82/280,975/383

Given numbers are 49/262,82/280,975/383

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 49,82,975

Least Common Multiple of Numerators i.e. LCM of 49,82,975 is 3917550.

GCF of Denominators means GCF of 262,280,383 as per the given fractions.

GCF of 262,280,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,82,975

LCM of Fractions 49/262,82/280,975/383 is 3917550

Given numbers has no common factors except 1. So, there LCM is their product i.e 3917550

Least Common Multiple of 49,82,975 with GCF Formula

Least Common Multiple of 49,82,975 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 49,82,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,82,975) = 1

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

GCF(49,82,975) x common factors =1 x 1 = 1

LCM(49,82,975) = ( 49 × 82 × 975 ) / 1

LCM(49,82,975) = 3917550 / 1

LCM(49,82,975) = 3917550


Lets's calculate GCF of 262,280,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3917550/1

Therefore the LCM of Fractions 49/262,82/280,975/383 is 3917550

Greatest Common Factor of 262,280,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,280,383 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

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 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 262,280,383 . The biggest common factor number is the GCF number.
So the greatest common factor 262,280,383 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 49/262, 82/280, 975/383

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 49/262, 82/280, 975/383?

Answer: LCM of Numerators as per given numbers 49/262, 82/280, 975/383 is

LCM of Numerators i.e. for 49,82,975 is 3917550

GCF of denominators i.e. for 262,280,383 is 1.

Thus, LCM of Fractions is 3917550.Finally, LCM of Fractions for 49/262, 82/280, 975/383 is 3917550.