Least Common Multiple of 4877/658, 9599/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4877/658, 9599/280 quickly i.e. 46814323/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4877/658, 9599/280 is 46814323/14.

LCM(4877/658, 9599/280) = 46814323/14

LCM of 4877/658, 9599/280

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 4877/658,9599/280

Given numbers are 4877/658,9599/280

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 4877,9599

Least Common Multiple of Numerators i.e. LCM of 4877,9599 is 46814323.

GCF of Denominators means GCF of 658,280 as per the given fractions.

GCF of 658,280 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4877,9599

LCM of Fractions 4877/658,9599/280 is 46814323/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 46814323

Least Common Multiple of 4877,9599 with GCF Formula

Least Common Multiple of 4877,9599 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 4877,9599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4877,9599) = 1

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

GCF(4877,9599) x common factors =1 x 1 = 1

LCM(4877,9599) = ( 4877 × 9599 ) / 1

LCM(4877,9599) = 46814323 / 1

LCM(4877,9599) = 46814323


Lets's calculate GCF of 658,280

2 658, 280
7 329, 140
47, 20

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46814323/14

Therefore the LCM of Fractions 4877/658,9599/280 is 46814323/14

Greatest Common Factor of 658,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,280 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

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

Greatest Common Factor

We found the factors 658,280 . The biggest common factor number is the GCF number.
So the greatest common factor 658,280 is 14.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4877/658, 9599/280

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 4877/658, 9599/280?

Answer: LCM of Numerators as per given numbers 4877/658, 9599/280 is

LCM of Numerators i.e. for 4877,9599 is 46814323

GCF of denominators i.e. for 658,280 is 14.

Thus, LCM of Fractions is 46814323/14.Finally, LCM of Fractions for 4877/658, 9599/280 is 46814323/14.