Least Common Multiple of 95/224, 369/525, 902/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 95/224, 369/525, 902/664 quickly i.e. 771210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/224, 369/525, 902/664 is 771210.

LCM(95/224, 369/525, 902/664) = 771210

LCM of 95/224, 369/525, 902/664

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 95/224,369/525,902/664

Given numbers are 95/224,369/525,902/664

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 95,369,902

Least Common Multiple of Numerators i.e. LCM of 95,369,902 is 771210.

GCF of Denominators means GCF of 224,525,664 as per the given fractions.

GCF of 224,525,664 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,369,902

LCM of Fractions 95/224,369/525,902/664 is 771210

41 95, 369, 902
95, 9, 22

∴ So the LCM of the given numbers is 41 x 95 x 9 x 22 = 771210

Least Common Multiple of 95,369,902 with GCF Formula

Least Common Multiple of 95,369,902 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 95,369,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,369,902) = 1

common factors(in case of two or more numbers have common factors) = 41

GCF(95,369,902) x common factors =1 x 41 = 41

LCM(95,369,902) = ( 95 × 369 × 902 ) / 41

LCM(95,369,902) = 31619610 / 41

LCM(95,369,902) = 771210


Lets's calculate GCF of 224,525,664

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 771210/1

Therefore the LCM of Fractions 95/224,369/525,902/664 is 771210

Greatest Common Factor of 224,525,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,525,664 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 224,525,664 . The biggest common factor number is the GCF number.
So the greatest common factor 224,525,664 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 95/224, 369/525, 902/664

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 95/224, 369/525, 902/664?

Answer: LCM of Numerators as per given numbers 95/224, 369/525, 902/664 is

LCM of Numerators i.e. for 95,369,902 is 771210

GCF of denominators i.e. for 224,525,664 is 1.

Thus, LCM of Fractions is 771210.Finally, LCM of Fractions for 95/224, 369/525, 902/664 is 771210.