Least Common Multiple of 55/635, 501/840, 283/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/635, 501/840, 283/152 quickly i.e. 7798065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/635, 501/840, 283/152 is 7798065.

LCM(55/635, 501/840, 283/152) = 7798065

LCM of 55/635, 501/840, 283/152

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 55/635,501/840,283/152

Given numbers are 55/635,501/840,283/152

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 55,501,283

Least Common Multiple of Numerators i.e. LCM of 55,501,283 is 7798065.

GCF of Denominators means GCF of 635,840,152 as per the given fractions.

GCF of 635,840,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,501,283

LCM of Fractions 55/635,501/840,283/152 is 7798065

Given numbers has no common factors except 1. So, there LCM is their product i.e 7798065

Least Common Multiple of 55,501,283 with GCF Formula

Least Common Multiple of 55,501,283 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 55,501,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,501,283) = 1

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

GCF(55,501,283) x common factors =1 x 1 = 1

LCM(55,501,283) = ( 55 × 501 × 283 ) / 1

LCM(55,501,283) = 7798065 / 1

LCM(55,501,283) = 7798065


Lets's calculate GCF of 635,840,152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7798065/1

Therefore the LCM of Fractions 55/635,501/840,283/152 is 7798065

Greatest Common Factor of 635,840,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 635,840,152 By Matching Biggest Common Factor Method

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 635,840,152 . The biggest common factor number is the GCF number.
So the greatest common factor 635,840,152 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/635, 501/840, 283/152

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 55/635, 501/840, 283/152?

Answer: LCM of Numerators as per given numbers 55/635, 501/840, 283/152 is

LCM of Numerators i.e. for 55,501,283 is 7798065

GCF of denominators i.e. for 635,840,152 is 1.

Thus, LCM of Fractions is 7798065.Finally, LCM of Fractions for 55/635, 501/840, 283/152 is 7798065.