Least Common Multiple of 70/535, 7207/3750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/535, 7207/3750 quickly i.e. 100898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/535, 7207/3750 is 100898.

LCM(70/535, 7207/3750) = 100898

LCM of 70/535, 7207/3750

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 70/535,7207/3750

Given numbers are 70/535,7207/3750

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 70,7207

Least Common Multiple of Numerators i.e. LCM of 70,7207 is 504490.

GCF of Denominators means GCF of 535,3750 as per the given fractions.

GCF of 535,3750 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,7207

LCM of Fractions 70/535,7207/3750 is 100898

Given numbers has no common factors except 1. So, there LCM is their product i.e 504490

Least Common Multiple of 70,7207 with GCF Formula

Least Common Multiple of 70,7207 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 70,7207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,7207) = 1

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

GCF(70,7207) x common factors =1 x 1 = 1

LCM(70,7207) = ( 70 × 7207 ) / 1

LCM(70,7207) = 504490 / 1

LCM(70,7207) = 504490


Lets's calculate GCF of 535,3750

5 535, 3750
107, 750

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 504490/5

Therefore the LCM of Fractions 70/535,7207/3750 is 100898

Greatest Common Factor of 535,3750 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,3750 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 3750

List of positive integer factors of 3750 that divides 3750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,625,750,1250,1875,3750

Greatest Common Factor

We found the factors 535,3750 . The biggest common factor number is the GCF number.
So the greatest common factor 535,3750 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 70/535, 7207/3750

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 70/535, 7207/3750?

Answer: LCM of Numerators as per given numbers 70/535, 7207/3750 is

LCM of Numerators i.e. for 70,7207 is 504490

GCF of denominators i.e. for 535,3750 is 5.

Thus, LCM of Fractions is 100898.Finally, LCM of Fractions for 70/535, 7207/3750 is 100898.