Least Common Multiple of 756/62, 700/4816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 756/62, 700/4816 quickly i.e. 9450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 756/62, 700/4816 is 9450.

LCM(756/62, 700/4816) = 9450

LCM of 756/62, 700/4816

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 756/62,700/4816

Given numbers are 756/62,700/4816

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 756,700

Least Common Multiple of Numerators i.e. LCM of 756,700 is 18900.

GCF of Denominators means GCF of 62,4816 as per the given fractions.

GCF of 62,4816 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 756,700

LCM of Fractions 756/62,700/4816 is 9450

2 756, 700
2 378, 350
7 189, 175
27, 25

∴ So the LCM of the given numbers is 2 x 2 x 7 x 27 x 25 = 18900

Least Common Multiple of 756,700 with GCF Formula

Least Common Multiple of 756,700 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 756,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,700) = 28

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

GCF(756,700) x common factors =28 x 1 = 28

LCM(756,700) = ( 756 × 700 ) / 28

LCM(756,700) = 529200 / 28

LCM(756,700) = 18900


Lets's calculate GCF of 62,4816

2 62, 4816
31, 2408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18900/2

Therefore the LCM of Fractions 756/62,700/4816 is 9450

Greatest Common Factor of 62,4816 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,4816 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 4816

List of positive integer factors of 4816 that divides 4816 without a remainder.

1,2,4,7,8,14,16,28,43,56,86,112,172,301,344,602,688,1204,2408,4816

Greatest Common Factor

We found the factors 62,4816 . The biggest common factor number is the GCF number.
So the greatest common factor 62,4816 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 756/62, 700/4816

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 756/62, 700/4816?

Answer: LCM of Numerators as per given numbers 756/62, 700/4816 is

LCM of Numerators i.e. for 756,700 is 18900

GCF of denominators i.e. for 62,4816 is 2.

Thus, LCM of Fractions is 9450.Finally, LCM of Fractions for 756/62, 700/4816 is 9450.