Least Common Multiple of 750/35, 370/59, 890/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 750/35, 370/59, 890/797 quickly i.e. 2469750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 750/35, 370/59, 890/797 is 2469750.

LCM(750/35, 370/59, 890/797) = 2469750

LCM of 750/35, 370/59, 890/797

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 750/35,370/59,890/797

Given numbers are 750/35,370/59,890/797

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 750,370,890

Least Common Multiple of Numerators i.e. LCM of 750,370,890 is 2469750.

GCF of Denominators means GCF of 35,59,797 as per the given fractions.

GCF of 35,59,797 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 750,370,890

LCM of Fractions 750/35,370/59,890/797 is 2469750

2 750, 370, 890
5 375, 185, 445
75, 37, 89

∴ So the LCM of the given numbers is 2 x 5 x 75 x 37 x 89 = 2469750

Least Common Multiple of 750,370,890 with GCF Formula

Least Common Multiple of 750,370,890 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 750,370,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,370,890) = 10

common factors(in case of two or more numbers have common factors) = 10

GCF(750,370,890) x common factors =10 x 10 = 100

LCM(750,370,890) = ( 750 × 370 × 890 ) / 100

LCM(750,370,890) = 246975000 / 100

LCM(750,370,890) = 2469750


Lets's calculate GCF of 35,59,797

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2469750/1

Therefore the LCM of Fractions 750/35,370/59,890/797 is 2469750

Greatest Common Factor of 35,59,797 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,59,797 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Greatest Common Factor

We found the factors 35,59,797 . The biggest common factor number is the GCF number.
So the greatest common factor 35,59,797 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 750/35, 370/59, 890/797

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 750/35, 370/59, 890/797?

Answer: LCM of Numerators as per given numbers 750/35, 370/59, 890/797 is

LCM of Numerators i.e. for 750,370,890 is 2469750

GCF of denominators i.e. for 35,59,797 is 1.

Thus, LCM of Fractions is 2469750.Finally, LCM of Fractions for 750/35, 370/59, 890/797 is 2469750.