Least Common Multiple of 587/551, 895/360, 148/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 587/551, 895/360, 148/197 quickly i.e. 77754020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 587/551, 895/360, 148/197 is 77754020.

LCM(587/551, 895/360, 148/197) = 77754020

LCM of 587/551, 895/360, 148/197

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 587/551,895/360,148/197

Given numbers are 587/551,895/360,148/197

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 587,895,148

Least Common Multiple of Numerators i.e. LCM of 587,895,148 is 77754020.

GCF of Denominators means GCF of 551,360,197 as per the given fractions.

GCF of 551,360,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 587,895,148

LCM of Fractions 587/551,895/360,148/197 is 77754020

Given numbers has no common factors except 1. So, there LCM is their product i.e 77754020

Least Common Multiple of 587,895,148 with GCF Formula

Least Common Multiple of 587,895,148 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 587,895,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,895,148) = 1

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

GCF(587,895,148) x common factors =1 x 1 = 1

LCM(587,895,148) = ( 587 × 895 × 148 ) / 1

LCM(587,895,148) = 77754020 / 1

LCM(587,895,148) = 77754020


Lets's calculate GCF of 551,360,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77754020/1

Therefore the LCM of Fractions 587/551,895/360,148/197 is 77754020

Greatest Common Factor of 551,360,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,360,197 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 551,360,197 . The biggest common factor number is the GCF number.
So the greatest common factor 551,360,197 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 587/551, 895/360, 148/197

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 587/551, 895/360, 148/197?

Answer: LCM of Numerators as per given numbers 587/551, 895/360, 148/197 is

LCM of Numerators i.e. for 587,895,148 is 77754020

GCF of denominators i.e. for 551,360,197 is 1.

Thus, LCM of Fractions is 77754020.Finally, LCM of Fractions for 587/551, 895/360, 148/197 is 77754020.