Least Common Multiple of 653/34, 851/7888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 653/34, 851/7888 quickly i.e. 555703/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 653/34, 851/7888 is 555703/34.

LCM(653/34, 851/7888) = 555703/34

LCM of 653/34, 851/7888

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 653/34,851/7888

Given numbers are 653/34,851/7888

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 653,851

Least Common Multiple of Numerators i.e. LCM of 653,851 is 555703.

GCF of Denominators means GCF of 34,7888 as per the given fractions.

GCF of 34,7888 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 653,851

LCM of Fractions 653/34,851/7888 is 555703/34

Given numbers has no common factors except 1. So, there LCM is their product i.e 555703

Least Common Multiple of 653,851 with GCF Formula

Least Common Multiple of 653,851 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 653,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,851) = 1

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

GCF(653,851) x common factors =1 x 1 = 1

LCM(653,851) = ( 653 × 851 ) / 1

LCM(653,851) = 555703 / 1

LCM(653,851) = 555703


Lets's calculate GCF of 34,7888

2 34, 7888
17 17, 3944
1, 232

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 555703/34

Therefore the LCM of Fractions 653/34,851/7888 is 555703/34

Greatest Common Factor of 34,7888 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,7888 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 7888

List of positive integer factors of 7888 that divides 7888 without a remainder.

1,2,4,8,16,17,29,34,58,68,116,136,232,272,464,493,986,1972,3944,7888

Greatest Common Factor

We found the factors 34,7888 . The biggest common factor number is the GCF number.
So the greatest common factor 34,7888 is 34.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 653/34, 851/7888

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 653/34, 851/7888?

Answer: LCM of Numerators as per given numbers 653/34, 851/7888 is

LCM of Numerators i.e. for 653,851 is 555703

GCF of denominators i.e. for 34,7888 is 34.

Thus, LCM of Fractions is 555703/34.Finally, LCM of Fractions for 653/34, 851/7888 is 555703/34.