Least Common Multiple of 7269/447, 8978/7700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7269/447, 8978/7700 quickly i.e. 65261082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7269/447, 8978/7700 is 65261082.

LCM(7269/447, 8978/7700) = 65261082

LCM of 7269/447, 8978/7700

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 7269/447,8978/7700

Given numbers are 7269/447,8978/7700

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 7269,8978

Least Common Multiple of Numerators i.e. LCM of 7269,8978 is 65261082.

GCF of Denominators means GCF of 447,7700 as per the given fractions.

GCF of 447,7700 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7269,8978

LCM of Fractions 7269/447,8978/7700 is 65261082

Given numbers has no common factors except 1. So, there LCM is their product i.e 65261082

Least Common Multiple of 7269,8978 with GCF Formula

Least Common Multiple of 7269,8978 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 7269,8978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7269,8978) = 1

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

GCF(7269,8978) x common factors =1 x 1 = 1

LCM(7269,8978) = ( 7269 × 8978 ) / 1

LCM(7269,8978) = 65261082 / 1

LCM(7269,8978) = 65261082


Lets's calculate GCF of 447,7700

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65261082/1

Therefore the LCM of Fractions 7269/447,8978/7700 is 65261082

Greatest Common Factor of 447,7700 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,7700 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 7700

List of positive integer factors of 7700 that divides 7700 without a remainder.

1,2,4,5,7,10,11,14,20,22,25,28,35,44,50,55,70,77,100,110,140,154,175,220,275,308,350,385,550,700,770,1100,1540,1925,3850,7700

Greatest Common Factor

We found the factors 447,7700 . The biggest common factor number is the GCF number.
So the greatest common factor 447,7700 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7269/447, 8978/7700

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 7269/447, 8978/7700?

Answer: LCM of Numerators as per given numbers 7269/447, 8978/7700 is

LCM of Numerators i.e. for 7269,8978 is 65261082

GCF of denominators i.e. for 447,7700 is 1.

Thus, LCM of Fractions is 65261082.Finally, LCM of Fractions for 7269/447, 8978/7700 is 65261082.