Least Common Multiple of 454/700, 1115/9716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 454/700, 1115/9716 quickly i.e. 506210/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 454/700, 1115/9716 is 506210/28.

LCM(454/700, 1115/9716) = 506210/28

LCM of 454/700, 1115/9716

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 454/700,1115/9716

Given numbers are 454/700,1115/9716

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 454,1115

Least Common Multiple of Numerators i.e. LCM of 454,1115 is 506210.

GCF of Denominators means GCF of 700,9716 as per the given fractions.

GCF of 700,9716 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 454,1115

LCM of Fractions 454/700,1115/9716 is 506210/28

Given numbers has no common factors except 1. So, there LCM is their product i.e 506210

Least Common Multiple of 454,1115 with GCF Formula

Least Common Multiple of 454,1115 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 454,1115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,1115) = 1

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

GCF(454,1115) x common factors =1 x 1 = 1

LCM(454,1115) = ( 454 × 1115 ) / 1

LCM(454,1115) = 506210 / 1

LCM(454,1115) = 506210


Lets's calculate GCF of 700,9716

2 700, 9716
2 350, 4858
7 175, 2429
25, 347

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 506210/28

Therefore the LCM of Fractions 454/700,1115/9716 is 506210/28

Greatest Common Factor of 700,9716 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,9716 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 9716

List of positive integer factors of 9716 that divides 9716 without a remainder.

1,2,4,7,14,28,347,694,1388,2429,4858,9716

Greatest Common Factor

We found the factors 700,9716 . The biggest common factor number is the GCF number.
So the greatest common factor 700,9716 is 28.


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 454/700, 1115/9716

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 454/700, 1115/9716?

Answer: LCM of Numerators as per given numbers 454/700, 1115/9716 is

LCM of Numerators i.e. for 454,1115 is 506210

GCF of denominators i.e. for 700,9716 is 28.

Thus, LCM of Fractions is 506210/28.Finally, LCM of Fractions for 454/700, 1115/9716 is 506210/28.