Least Common Multiple of 249/357, 4430/9779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 249/357, 4430/9779 quickly i.e. 1103070/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 249/357, 4430/9779 is 1103070/7.

LCM(249/357, 4430/9779) = 1103070/7

LCM of 249/357, 4430/9779

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 249/357,4430/9779

Given numbers are 249/357,4430/9779

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 249,4430

Least Common Multiple of Numerators i.e. LCM of 249,4430 is 1103070.

GCF of Denominators means GCF of 357,9779 as per the given fractions.

GCF of 357,9779 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 249,4430

LCM of Fractions 249/357,4430/9779 is 1103070/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 1103070

Least Common Multiple of 249,4430 with GCF Formula

Least Common Multiple of 249,4430 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 249,4430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,4430) = 1

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

GCF(249,4430) x common factors =1 x 1 = 1

LCM(249,4430) = ( 249 × 4430 ) / 1

LCM(249,4430) = 1103070 / 1

LCM(249,4430) = 1103070


Lets's calculate GCF of 357,9779

7 357, 9779
51, 1397

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1103070/7

Therefore the LCM of Fractions 249/357,4430/9779 is 1103070/7

Greatest Common Factor of 357,9779 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,9779 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 9779

List of positive integer factors of 9779 that divides 9779 without a remainder.

1,7,11,77,127,889,1397,9779

Greatest Common Factor

We found the factors 357,9779 . The biggest common factor number is the GCF number.
So the greatest common factor 357,9779 is 7.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 249/357, 4430/9779

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 249/357, 4430/9779?

Answer: LCM of Numerators as per given numbers 249/357, 4430/9779 is

LCM of Numerators i.e. for 249,4430 is 1103070

GCF of denominators i.e. for 357,9779 is 7.

Thus, LCM of Fractions is 1103070/7.Finally, LCM of Fractions for 249/357, 4430/9779 is 1103070/7.