Least Common Multiple of 87/651, 71/632, 616/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 87/651, 71/632, 616/421 quickly i.e. 3805032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/651, 71/632, 616/421 is 3805032.

LCM(87/651, 71/632, 616/421) = 3805032

LCM of 87/651, 71/632, 616/421

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 87/651,71/632,616/421

Given numbers are 87/651,71/632,616/421

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 87,71,616

Least Common Multiple of Numerators i.e. LCM of 87,71,616 is 3805032.

GCF of Denominators means GCF of 651,632,421 as per the given fractions.

GCF of 651,632,421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,71,616

LCM of Fractions 87/651,71/632,616/421 is 3805032

Given numbers has no common factors except 1. So, there LCM is their product i.e 3805032

Least Common Multiple of 87,71,616 with GCF Formula

Least Common Multiple of 87,71,616 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 87,71,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,71,616) = 1

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

GCF(87,71,616) x common factors =1 x 1 = 1

LCM(87,71,616) = ( 87 × 71 × 616 ) / 1

LCM(87,71,616) = 3805032 / 1

LCM(87,71,616) = 3805032


Lets's calculate GCF of 651,632,421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3805032/1

Therefore the LCM of Fractions 87/651,71/632,616/421 is 3805032

Greatest Common Factor of 651,632,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,632,421 By Matching Biggest Common Factor Method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 651,632,421 . The biggest common factor number is the GCF number.
So the greatest common factor 651,632,421 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 87/651, 71/632, 616/421

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 87/651, 71/632, 616/421?

Answer: LCM of Numerators as per given numbers 87/651, 71/632, 616/421 is

LCM of Numerators i.e. for 87,71,616 is 3805032

GCF of denominators i.e. for 651,632,421 is 1.

Thus, LCM of Fractions is 3805032.Finally, LCM of Fractions for 87/651, 71/632, 616/421 is 3805032.