Least Common Multiple of 4536/986, 9750/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4536/986, 9750/764 quickly i.e. 3685500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4536/986, 9750/764 is 3685500.

LCM(4536/986, 9750/764) = 3685500

LCM of 4536/986, 9750/764

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 4536/986,9750/764

Given numbers are 4536/986,9750/764

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 4536,9750

Least Common Multiple of Numerators i.e. LCM of 4536,9750 is 7371000.

GCF of Denominators means GCF of 986,764 as per the given fractions.

GCF of 986,764 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4536,9750

LCM of Fractions 4536/986,9750/764 is 3685500

2 4536, 9750
3 2268, 4875
756, 1625

∴ So the LCM of the given numbers is 2 x 3 x 756 x 1625 = 7371000

Least Common Multiple of 4536,9750 with GCF Formula

Least Common Multiple of 4536,9750 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 4536,9750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4536,9750) = 6

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

GCF(4536,9750) x common factors =6 x 1 = 6

LCM(4536,9750) = ( 4536 × 9750 ) / 6

LCM(4536,9750) = 44226000 / 6

LCM(4536,9750) = 7371000


Lets's calculate GCF of 986,764

2 986, 764
493, 382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7371000/2

Therefore the LCM of Fractions 4536/986,9750/764 is 3685500

Greatest Common Factor of 986,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,764 By Matching Biggest Common Factor Method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 986,764 . The biggest common factor number is the GCF number.
So the greatest common factor 986,764 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 4536/986, 9750/764

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 4536/986, 9750/764?

Answer: LCM of Numerators as per given numbers 4536/986, 9750/764 is

LCM of Numerators i.e. for 4536,9750 is 7371000

GCF of denominators i.e. for 986,764 is 2.

Thus, LCM of Fractions is 3685500.Finally, LCM of Fractions for 4536/986, 9750/764 is 3685500.