Least Common Multiple of 553/962, 9751/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 553/962, 9751/900 quickly i.e. 770329/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 553/962, 9751/900 is 770329/2.

LCM(553/962, 9751/900) = 770329/2

LCM of 553/962, 9751/900

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 553/962,9751/900

Given numbers are 553/962,9751/900

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 553,9751

Least Common Multiple of Numerators i.e. LCM of 553,9751 is 770329.

GCF of Denominators means GCF of 962,900 as per the given fractions.

GCF of 962,900 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 553,9751

LCM of Fractions 553/962,9751/900 is 770329/2

7 553, 9751
79, 1393

∴ So the LCM of the given numbers is 7 x 79 x 1393 = 770329

Least Common Multiple of 553,9751 with GCF Formula

Least Common Multiple of 553,9751 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 553,9751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,9751) = 7

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

GCF(553,9751) x common factors =7 x 1 = 7

LCM(553,9751) = ( 553 × 9751 ) / 7

LCM(553,9751) = 5392303 / 7

LCM(553,9751) = 770329


Lets's calculate GCF of 962,900

2 962, 900
481, 450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 770329/2

Therefore the LCM of Fractions 553/962,9751/900 is 770329/2

Greatest Common Factor of 962,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,900 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 962,900 . The biggest common factor number is the GCF number.
So the greatest common factor 962,900 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 553/962, 9751/900

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 553/962, 9751/900?

Answer: LCM of Numerators as per given numbers 553/962, 9751/900 is

LCM of Numerators i.e. for 553,9751 is 770329

GCF of denominators i.e. for 962,900 is 2.

Thus, LCM of Fractions is 770329/2.Finally, LCM of Fractions for 553/962, 9751/900 is 770329/2.