Least Common Multiple of 60/126, 775/832, 568/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 60/126, 775/832, 568/154 quickly i.e. 660300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/126, 775/832, 568/154 is 660300.

LCM(60/126, 775/832, 568/154) = 660300

LCM of 60/126, 775/832, 568/154

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 60/126,775/832,568/154

Given numbers are 60/126,775/832,568/154

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 60,775,568

Least Common Multiple of Numerators i.e. LCM of 60,775,568 is 1320600.

GCF of Denominators means GCF of 126,832,154 as per the given fractions.

GCF of 126,832,154 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,775,568

LCM of Fractions 60/126,775/832,568/154 is 660300

2 60, 775, 568
2 30, 775, 284
5 15, 775, 142
3, 155, 142

∴ So the LCM of the given numbers is 2 x 2 x 5 x 3 x 155 x 142 = 1320600

Least Common Multiple of 60,775,568 with GCF Formula

Least Common Multiple of 60,775,568 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 60,775,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,775,568) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(60,775,568) x common factors =1 x 20 = 20

LCM(60,775,568) = ( 60 × 775 × 568 ) / 20

LCM(60,775,568) = 26412000 / 20

LCM(60,775,568) = 1320600


Lets's calculate GCF of 126,832,154

2 126, 832, 154
63, 416, 77

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1320600/2

Therefore the LCM of Fractions 60/126,775/832,568/154 is 660300

Greatest Common Factor of 126,832,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,832,154 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 126,832,154 . The biggest common factor number is the GCF number.
So the greatest common factor 126,832,154 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 60/126, 775/832, 568/154

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 60/126, 775/832, 568/154?

Answer: LCM of Numerators as per given numbers 60/126, 775/832, 568/154 is

LCM of Numerators i.e. for 60,775,568 is 1320600

GCF of denominators i.e. for 126,832,154 is 2.

Thus, LCM of Fractions is 660300.Finally, LCM of Fractions for 60/126, 775/832, 568/154 is 660300.