Least Common Multiple of 90/504, 526/237, 496/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/504, 526/237, 496/951 quickly i.e. 1956720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/504, 526/237, 496/951 is 1956720.

LCM(90/504, 526/237, 496/951) = 1956720

LCM of 90/504, 526/237, 496/951

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 90/504,526/237,496/951

Given numbers are 90/504,526/237,496/951

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 90,526,496

Least Common Multiple of Numerators i.e. LCM of 90,526,496 is 5870160.

GCF of Denominators means GCF of 504,237,951 as per the given fractions.

GCF of 504,237,951 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,526,496

LCM of Fractions 90/504,526/237,496/951 is 1956720

2 90, 526, 496
45, 263, 248

∴ So the LCM of the given numbers is 2 x 45 x 263 x 248 = 5870160

Least Common Multiple of 90,526,496 with GCF Formula

Least Common Multiple of 90,526,496 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 90,526,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,526,496) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(90,526,496) x common factors =2 x 2 = 4

LCM(90,526,496) = ( 90 × 526 × 496 ) / 4

LCM(90,526,496) = 23480640 / 4

LCM(90,526,496) = 5870160


Lets's calculate GCF of 504,237,951

3 504, 237, 951
168, 79, 317

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5870160/3

Therefore the LCM of Fractions 90/504,526/237,496/951 is 1956720

Greatest Common Factor of 504,237,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,237,951 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 504,237,951 . The biggest common factor number is the GCF number.
So the greatest common factor 504,237,951 is 3.


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 90/504, 526/237, 496/951

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 90/504, 526/237, 496/951?

Answer: LCM of Numerators as per given numbers 90/504, 526/237, 496/951 is

LCM of Numerators i.e. for 90,526,496 is 5870160

GCF of denominators i.e. for 504,237,951 is 3.

Thus, LCM of Fractions is 1956720.Finally, LCM of Fractions for 90/504, 526/237, 496/951 is 1956720.