Least Common Multiple of 9625/598, 7900/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9625/598, 7900/679 quickly i.e. 3041500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9625/598, 7900/679 is 3041500.

LCM(9625/598, 7900/679) = 3041500

LCM of 9625/598, 7900/679

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 9625/598,7900/679

Given numbers are 9625/598,7900/679

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 9625,7900

Least Common Multiple of Numerators i.e. LCM of 9625,7900 is 3041500.

GCF of Denominators means GCF of 598,679 as per the given fractions.

GCF of 598,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9625,7900

LCM of Fractions 9625/598,7900/679 is 3041500

5 9625, 7900
5 1925, 1580
385, 316

∴ So the LCM of the given numbers is 5 x 5 x 385 x 316 = 3041500

Least Common Multiple of 9625,7900 with GCF Formula

Least Common Multiple of 9625,7900 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 9625,7900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9625,7900) = 25

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

GCF(9625,7900) x common factors =25 x 1 = 25

LCM(9625,7900) = ( 9625 × 7900 ) / 25

LCM(9625,7900) = 76037500 / 25

LCM(9625,7900) = 3041500


Lets's calculate GCF of 598,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3041500/1

Therefore the LCM of Fractions 9625/598,7900/679 is 3041500

Greatest Common Factor of 598,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,679 By Matching Biggest Common Factor Method

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 598,679 . The biggest common factor number is the GCF number.
So the greatest common factor 598,679 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9625/598, 7900/679

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 9625/598, 7900/679?

Answer: LCM of Numerators as per given numbers 9625/598, 7900/679 is

LCM of Numerators i.e. for 9625,7900 is 3041500

GCF of denominators i.e. for 598,679 is 1.

Thus, LCM of Fractions is 3041500.Finally, LCM of Fractions for 9625/598, 7900/679 is 3041500.