Least Common Multiple of 51/736, 90/690, 875/887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/736, 90/690, 875/887 quickly i.e. 267750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/736, 90/690, 875/887 is 267750.

LCM(51/736, 90/690, 875/887) = 267750

LCM of 51/736, 90/690, 875/887

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 51/736,90/690,875/887

Given numbers are 51/736,90/690,875/887

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 51,90,875

Least Common Multiple of Numerators i.e. LCM of 51,90,875 is 267750.

GCF of Denominators means GCF of 736,690,887 as per the given fractions.

GCF of 736,690,887 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,90,875

LCM of Fractions 51/736,90/690,875/887 is 267750

3 51, 90, 875
5 17, 30, 875
17, 6, 175

∴ So the LCM of the given numbers is 3 x 5 x 17 x 6 x 175 = 267750

Least Common Multiple of 51,90,875 with GCF Formula

Least Common Multiple of 51,90,875 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 51,90,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,90,875) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(51,90,875) x common factors =1 x 15 = 15

LCM(51,90,875) = ( 51 × 90 × 875 ) / 15

LCM(51,90,875) = 4016250 / 15

LCM(51,90,875) = 267750


Lets's calculate GCF of 736,690,887

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267750/1

Therefore the LCM of Fractions 51/736,90/690,875/887 is 267750

Greatest Common Factor of 736,690,887 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,690,887 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Greatest Common Factor

We found the factors 736,690,887 . The biggest common factor number is the GCF number.
So the greatest common factor 736,690,887 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 51/736, 90/690, 875/887

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 51/736, 90/690, 875/887?

Answer: LCM of Numerators as per given numbers 51/736, 90/690, 875/887 is

LCM of Numerators i.e. for 51,90,875 is 267750

GCF of denominators i.e. for 736,690,887 is 1.

Thus, LCM of Fractions is 267750.Finally, LCM of Fractions for 51/736, 90/690, 875/887 is 267750.