Least Common Multiple of 99/865, 78/257, 872/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/865, 78/257, 872/952 quickly i.e. 1122264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/865, 78/257, 872/952 is 1122264.

LCM(99/865, 78/257, 872/952) = 1122264

LCM of 99/865, 78/257, 872/952

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 99/865,78/257,872/952

Given numbers are 99/865,78/257,872/952

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 99,78,872

Least Common Multiple of Numerators i.e. LCM of 99,78,872 is 1122264.

GCF of Denominators means GCF of 865,257,952 as per the given fractions.

GCF of 865,257,952 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,78,872

LCM of Fractions 99/865,78/257,872/952 is 1122264

2 99, 78, 872
3 99, 39, 436
33, 13, 436

∴ So the LCM of the given numbers is 2 x 3 x 33 x 13 x 436 = 1122264

Least Common Multiple of 99,78,872 with GCF Formula

Least Common Multiple of 99,78,872 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 99,78,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,78,872) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(99,78,872) x common factors =1 x 6 = 6

LCM(99,78,872) = ( 99 × 78 × 872 ) / 6

LCM(99,78,872) = 6733584 / 6

LCM(99,78,872) = 1122264


Lets's calculate GCF of 865,257,952

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1122264/1

Therefore the LCM of Fractions 99/865,78/257,872/952 is 1122264

Greatest Common Factor of 865,257,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,257,952 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 865,257,952 . The biggest common factor number is the GCF number.
So the greatest common factor 865,257,952 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 99/865, 78/257, 872/952

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 99/865, 78/257, 872/952?

Answer: LCM of Numerators as per given numbers 99/865, 78/257, 872/952 is

LCM of Numerators i.e. for 99,78,872 is 1122264

GCF of denominators i.e. for 865,257,952 is 1.

Thus, LCM of Fractions is 1122264.Finally, LCM of Fractions for 99/865, 78/257, 872/952 is 1122264.