Least Common Multiple of 90/552, 51/596, 837/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/552, 51/596, 837/782 quickly i.e. 71145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/552, 51/596, 837/782 is 71145.

LCM(90/552, 51/596, 837/782) = 71145

LCM of 90/552, 51/596, 837/782

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 90/552,51/596,837/782

Given numbers are 90/552,51/596,837/782

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 90,51,837

Least Common Multiple of Numerators i.e. LCM of 90,51,837 is 142290.

GCF of Denominators means GCF of 552,596,782 as per the given fractions.

GCF of 552,596,782 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,51,837

LCM of Fractions 90/552,51/596,837/782 is 71145

3 90, 51, 837
3 30, 17, 279
10, 17, 93

∴ So the LCM of the given numbers is 3 x 3 x 10 x 17 x 93 = 142290

Least Common Multiple of 90,51,837 with GCF Formula

Least Common Multiple of 90,51,837 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 90,51,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,51,837) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(90,51,837) x common factors =3 x 9 = 27

LCM(90,51,837) = ( 90 × 51 × 837 ) / 27

LCM(90,51,837) = 3841830 / 27

LCM(90,51,837) = 142290


Lets's calculate GCF of 552,596,782

2 552, 596, 782
276, 298, 391

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142290/2

Therefore the LCM of Fractions 90/552,51/596,837/782 is 71145

Greatest Common Factor of 552,596,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,596,782 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 552,596,782 . The biggest common factor number is the GCF number.
So the greatest common factor 552,596,782 is 2.


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 90/552, 51/596, 837/782

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 90/552, 51/596, 837/782?

Answer: LCM of Numerators as per given numbers 90/552, 51/596, 837/782 is

LCM of Numerators i.e. for 90,51,837 is 142290

GCF of denominators i.e. for 552,596,782 is 2.

Thus, LCM of Fractions is 71145.Finally, LCM of Fractions for 90/552, 51/596, 837/782 is 71145.