Least Common Multiple of 3717/522, 7970/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3717/522, 7970/985 quickly i.e. 29624490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3717/522, 7970/985 is 29624490.

LCM(3717/522, 7970/985) = 29624490

LCM of 3717/522, 7970/985

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 3717/522,7970/985

Given numbers are 3717/522,7970/985

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 3717,7970

Least Common Multiple of Numerators i.e. LCM of 3717,7970 is 29624490.

GCF of Denominators means GCF of 522,985 as per the given fractions.

GCF of 522,985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3717,7970

LCM of Fractions 3717/522,7970/985 is 29624490

Given numbers has no common factors except 1. So, there LCM is their product i.e 29624490

Least Common Multiple of 3717,7970 with GCF Formula

Least Common Multiple of 3717,7970 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 3717,7970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3717,7970) = 1

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

GCF(3717,7970) x common factors =1 x 1 = 1

LCM(3717,7970) = ( 3717 × 7970 ) / 1

LCM(3717,7970) = 29624490 / 1

LCM(3717,7970) = 29624490


Lets's calculate GCF of 522,985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29624490/1

Therefore the LCM of Fractions 3717/522,7970/985 is 29624490

Greatest Common Factor of 522,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,985 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 522,985 . The biggest common factor number is the GCF number.
So the greatest common factor 522,985 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3717/522, 7970/985

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 3717/522, 7970/985?

Answer: LCM of Numerators as per given numbers 3717/522, 7970/985 is

LCM of Numerators i.e. for 3717,7970 is 29624490

GCF of denominators i.e. for 522,985 is 1.

Thus, LCM of Fractions is 29624490.Finally, LCM of Fractions for 3717/522, 7970/985 is 29624490.