Least Common Multiple of 7506/670, 8485/9951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7506/670, 8485/9951 quickly i.e. 63688410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7506/670, 8485/9951 is 63688410.

LCM(7506/670, 8485/9951) = 63688410

LCM of 7506/670, 8485/9951

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 7506/670,8485/9951

Given numbers are 7506/670,8485/9951

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 7506,8485

Least Common Multiple of Numerators i.e. LCM of 7506,8485 is 63688410.

GCF of Denominators means GCF of 670,9951 as per the given fractions.

GCF of 670,9951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7506,8485

LCM of Fractions 7506/670,8485/9951 is 63688410

Given numbers has no common factors except 1. So, there LCM is their product i.e 63688410

Least Common Multiple of 7506,8485 with GCF Formula

Least Common Multiple of 7506,8485 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 7506,8485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7506,8485) = 1

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

GCF(7506,8485) x common factors =1 x 1 = 1

LCM(7506,8485) = ( 7506 × 8485 ) / 1

LCM(7506,8485) = 63688410 / 1

LCM(7506,8485) = 63688410


Lets's calculate GCF of 670,9951

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63688410/1

Therefore the LCM of Fractions 7506/670,8485/9951 is 63688410

Greatest Common Factor of 670,9951 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,9951 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 9951

List of positive integer factors of 9951 that divides 9951 without a remainder.

1,3,31,93,107,321,3317,9951

Greatest Common Factor

We found the factors 670,9951 . The biggest common factor number is the GCF number.
So the greatest common factor 670,9951 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7506/670, 8485/9951

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 7506/670, 8485/9951?

Answer: LCM of Numerators as per given numbers 7506/670, 8485/9951 is

LCM of Numerators i.e. for 7506,8485 is 63688410

GCF of denominators i.e. for 670,9951 is 1.

Thus, LCM of Fractions is 63688410.Finally, LCM of Fractions for 7506/670, 8485/9951 is 63688410.